How many triples of three positive integers have a product of 16?

Answers

Answer 1

There are 15 possible triples of three positive integers whose product is 16.

According to this question, we must find the quantity of all possible triples such that they have a product of 16. By factor decomposition, we have that 16 is equal to the following product of prime numbers:

[tex]16 = 2^{4}[/tex]

There are the following triples considering order of factors:

(i) [tex]\{16, 1, 1\}[/tex], (ii) [tex]\{1, 16, 1\}[/tex], (iii) [tex]\{1, 1, 16\}[/tex], (iv) [tex]\{2, 8, 1\}[/tex], (v) [tex]\{8, 2, 1\}[/tex], (vi) [tex]\{8, 1, 2\}[/tex], (vii) [tex]\{2, 1, 8\}[/tex], (viii) [tex]\{1, 2, 8\}[/tex], (ix) [tex]\{1, 8, 2\}[/tex], (x) [tex]\{1,4,4\}[/tex], (xi) [tex]\{4, 1, 4\}[/tex], (xii) [tex]\{4,4,1\}[/tex], (xiii) [tex]\{2,2,4\}[/tex], (xiv) [tex]\{2, 4, 2\}[/tex], (xv) [tex]\{4,2,2\}[/tex]

There are 15 possible triples of three positive integers whose product is 16.

We kindly invite to check this question on factor decomposition: https://brainly.com/question/2250220


Related Questions

I gave 1/8 of a pizza to my brother and another 1/8 of the pizza to my sister. I gave 3/4 of
the remaining pizza to my friend.

What fraction of the pizza is left for me?

Answers

Answer:

none

Step-by-step explanation:

none because 2/8  is 1/4 and you gave 3/4 to your friend so none

Please help me solve this problem

Answers

Just reflect over the axis bro its honest simple and sad u can count over the axis

Answer:

See Below

Step-by-step explanation:

Points given:

V (-1.-1)

S (1,-1)

U (-1,-3)

T (1,-3)

Reflection: We need to reflect what is in the bottom two quadrants to the top two quadrants.

Resulting Points:

V (-1,1)

S (1,1)

U (-1,3)

T (1,3)

Still Stuck?

Try folding your paper over itself from bottom to top and see where the box lies, that is its reflection over the x-axis. Nothing is done with respect to y-axis here.

Please help! For
Geometry.

lines cut by a transversal

Answers

Answer:

x=12

Step-by-step explanation:

you take 5x+5+115=180 and you get 5x+120=180 you subtract 120 over to get 5x=60 then divide by 5

Please help!! Which equations have exactly one solution? Choose all answers that apply: a. 12x+12=13x-12 b. -13x+12=13x+13 c. -13x+12=13x-13 d. 12x+12=13x+12

Answers

Answer:

The answer is A b c and d

if ∆ ABC ,AB= AC and angle b=50° , then angle c is equal to:a)40° b)50°c) 80°d)130°​

Answers

Step-by-step explanation:

the angle C is 50°(option B). because AB=AC.

hope this helps you.

i need help on this for me is really hard

Answers

Answer:

A.

Step-by-step explanation:

33.75 / 15 = 2.25 for one lunch

Make a multiplication maze for 720. Be sure to record your solution.​

Answers

Answer:

4 x 5 x 9 x 2 x 2 = 720

Step-by-step explanation:

Multiply 4 and 5 to get 20.

20 x 9 x 2 x 2

Multiply 20 and 9 to get 180.

180 x 2 x 2

Multiply 180 and 2 to get 360.

360 x 2

Multiply 360 and 2 to get 720.

= 720

Hope this helps. =D

What is

5/90
in decimal form?
0.06
0.056
0.05
0.05

Answers

Answer:

5/90 = 0.05555555555

Step-by-step explanation:

so C

Answer:

0.05 so it is C

Step-by-step explanation:

Hope this helped!

Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 8 points for the statements and 8 points for the reasons.
(2x+6)/5=4x−3

Answers

Answer:

x=7/6

Step-by-step explanation:

subtract the 4x from both sides of the equation

(2x+6)-4x=4x-3-4x

find common denominator

(2x+6)/5+(5(-4)x)/5=4x-3-4x

then combine fractions

(2x+6+5(-4)x)/5=4x-3-4x

then multiply the 5&4

(2x+6-20x)/5= 4x3-4x

combine terms

(-18x+6)/5= -3

then multiply everything by 5

-18x+6= -15

subtract the 6 from both sides

-18x= -21

divide -21 by -18

(-21)/(-18)=x

find greatest common multiple (3) and solve

x = 7/6

PLEASEEE HELPP I WILL MARK BRAINLIESTTT

Answers

Answer:

48 units squared

Step-by-step explanation:

You can find the number of squares in each sector by multiplying by the width and height.

So we have 4 boxes that have 10 squares each giving us 40 squares for the 4 boxes plus the other 2 boxes that have 4 squares each.

4 * 10 + 2 * 4 = 48

We get 48 inches squared.

If this answer helped, consider marking as brainliest!

Cheers!

Find two integers whose sum is -3 and product is -18

Answers

let two integers be x and y

A.T.Q

x+y= -3

or, x= -3-y(i)

and xy= -18

or,(-3-y)y= -18[by(i)]

or,- -3y-y²= -18

or,-y²= -18+3

or, -y²= -15

or, y²=15

therefore y=✓15

from (i)

x= -3-✓15

y=√15

Answer:

3 and -6

Step-by-step explanation:

1. First, let's find the factors of -18

-1 and 18, or -18 and 1-2 and 9, or -9 and 2-3 and 6, or -6 and 3

2. Next, we have to find which of the factors add up to -3.

[tex]-1 + 18 = 17[/tex] [tex]-18+1=-17[/tex] [tex]-2+9=7[/tex] [tex]-9+2=-7[/tex] [tex]-3+6=3[/tex] [tex]-6+3=-3[/tex]

3. Great! Now that we found the factors that result in a product of -18 and a sum of -3, the factors are 3 and -6.

On a family vacation, Aaron took 1,276 digital photos. His twin sister Ashley took 4 times as many as Aaron. Write and solve an equation to find p, the number of photos that Ashley took

Answers

Answer:

Equation : 4(1,276) = p

That means that Ashely took 5104 pics.

Step-by-step explanation:

Before we come up with an equation we can solve the problem and see how we solved it. If Aaron had 1,276 pics and his sister took 4 times that, we would multiply 1,276 by 4 to get how many his sister took. We don't need to do the math, but that's how we would solve it. So to find p, or Ashely's amount of pics, it's just 1,276 times 4 = p

Equation : 4(1,276) = p

That means that Ashely took 5104 pics.

Please mark brainliest if possible and have a nice day! :)

our teacher ask us when it can be correct
i now that if y or x =0
and ???????[tex]\sqrt{x+y} = \sqrt{x} +\sqrt{y}[/tex]

Answers

Answer:

Step-by-step explanation:

When you take the square root of a number, you want the number inside of the square root to be a positive sign since we can't take the square root of a negative.

So, what would make the [tex]\sqrt{x+y}[/tex] a positive?

(x+y) > 0

For each individual one, (Note: [tex]\sqrt{x+y} \neq \sqrt{x} +\sqrt{y}[/tex]

What would make [tex]\sqrt{x}[/tex] positive?

x > 0

What would make [tex]\sqrt{y}[/tex] positive?

y > 0

if V = {a,e,i,o,u} then find the n(V)​

Answers

Step-by-step explanation:

if V = {a,e,i,o,u}

Then

n(V) = 5

Answer:

5 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Camarasaurus has a sale for 25% of camera bags, which is a discount of
$20 period explain how you can set up a diagram to find the original cost of the camera back period indicate the number of columns necessary to fit the situation period

Answers

Answer:

answer is 80

Step-by-step explanation:

25% = 1/4

you'll need four lines in the diagram, each having 20.

I dont know what diagram your having to use, but I hope this helped!

Round up or down 70 if rounding to the nearest 10

Answers

your answer is going to be 100 and how you do that is you're going to estimate which means you're taking an educated guess and is it 70 closer to zero or 100 70 is only 20 numbers away and how you find that is by subtracting 100 from 70 which equals 20 and how you do that to see if it's up or down is 50 is in your middle okay so it's going to go from 0 to 50 to 100 on a number line 70 is in between 50 and 100 so that means that you'll be going up now if you did 30 instead of 70 in your equation rounding by 10 then it would be in between the zero and the 50 which that means that you're going down

pleaseeeeeee correct answer plsssssss

Answers

Answer :
(64)2

Explaination:
(6)4 x 2
68

Answer:

6^6 = 6^2 x 6^4 = 46656

Step-by-step explanation:

6^16/6^2 = 78364164096 so doesn't equal 6^6

(6^2)^8 / 6^4 = 1679616 so doesn't equal 6^6

(6^4)^2 = 1679616 so doesn't equal 6^6

6^-1 x 6^9 = 1679616 so doesn't equal 6^6

6^-1 x 6^-8 = 9.92 so doesn't equal 6^6

HELP WILL MARK BAINLIEST!! NO FAKE ANSWERS

Answers

Answer:

B. Evaluate the expression for 1 to 6 months of membership

Hope it helps ♡´・ᴗ・`♡

#Carryonlearning

A car accelerates from rest at 2m/s2 for 8 seconds.
a) Draw a speed-time graph to show this motion.
b) Use your graph to find
o the final speed of the car
(ii) the distance travelled by the car.

Answers

Step-by-step explanation:

v/2=2

v=4ms-1

s= 4*2/2

=4m

How many x intercepts is there

Answers

Answer:

THERE ARE x intercepts there 3

PAAA SAAAGGGGOTT PLSSS Joyce draws a fox on graph paper using the scale* shown below.
The fox has a height of 75 cm in the drawing.
What is the height, in units, of the fox in Joiyce drawing?

Answers

Answer:

since the scale is

3 units = 15cm

? = 75 cm

= (75*3)/15

=15units.

The height of the fox in units is 15.

Solving two step equations

3m/4 = 12/8

Answers

Answer:

m = 2

Step-by-step explanation:

3m / 4 = 12/8

6m / 8 = 12/8

48m = 96

m = 2

Hopefully this helped!

Brainliest please?

How do you write 0.53 as a whole number

Answers

Answer:

Step-by-step explanation:

0.53 cannot be written as a whole number, but it can be written as the ratio 53/100, which is the ratio of two whole numbers (53 and 100).

Can’t be written as a whole number

Source:trust me bro

is 2x^3-0x^2+1x similar to 2x^3+1x

Answers

Answer:

Yes

Step-by-step explanation:

2x³-0x²+1x is similar to 2x³+1x

because if we simplify both equations we get...

2x³-0x²+1x simplified= 2x³+x

and...

2x³+1x simplified = 2x³+x

therefore we get the same answer for both

thus they're similar

Hope this helped you- have a good day bro cya)

I need help with #4 asap plsss

Answers

Answer:

5 and 8 are supplementary

3=8 (vertically opposite)

so 5 and 3 are supplementary

also 5 and 6 are supplementary (linear pair)

now we've got

5+3=180°

5+6=180°

3=6

Statement: 5 and 3 are supplementary as 3=8

reason: vertically opposite

statement: 5 and 6 are supplementary

reason: linear pair

statement: 3=6

reason: both are supplementary to a same angle

Victoria conducted a scientific experiment. For a certain time, the temperature of a compound rose 2 1/2 degrees every 1 2/3 hours. What was the rate, in degrees per hour, that the temperature of the compound rose? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.

Answers

Answer:

1/10 deg  every 15 minutes   x 4   =  4/10th   degree in an hour    (there are 4 15 minute segments in an hour)

= 2/5  degree/hr

The rate, in degrees per hour, that the temperature of the compound rose will be 1.5 degrees per hour.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Victoria conducted a scientific experiment. For a certain time, the temperature of a compound rose 2 ¹/₂ degrees every 1 ²/₃ hours.

Convert the mixed fraction number into a fraction number. Then we have

2 ¹/₂ = 2 + 1/2 = 5/2

1 ²/₃ = 1 + 2/3 = 5/3

The rate is calculated as,

Rate = (5/2) ÷ (5/3)

Rate = (5/2) x (3/5)

Rate = 3 / 2

Rate = 1.5 degrees per hour

The rate, in degrees per hour, that the temperature of the compound rose will be 1.5 degrees per hour.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

3. The table shows the scores obtained by 20 students in a test Score 4 5 6 7 8
Frequency 3 5 2 6 5 7 4 8 6 a) Calculate the mean score for the test b) Draw a bar chart for the distribution​

Answers

Answer:

a.) 3+5+2+6+5+7+4+8+6=46

46/9=5.1

Step-by-step explanation:

To solve for mean you must add all the numbers and divide by the amount of numbers that are given.

I really need help, I’m sorry about the bad quality

No links please

Answers

Answer:

C

Step-by-step explanation:

I think because there is no space or a sign in-between the f and 5, which means you multiply.

write six thousand and seventeen in figures​

Answers

Step-by-step explanation:

first u start by writing it in

figure as stated in the question

6017

Select all of the equations that are true.

A823÷418=2110

B1112÷834=11135

C256÷314=319

D1223÷614=2275

E123÷112=1

Answers

Answer:

none

823÷418=2

1112÷834=1.333333333

Other Questions
Is "369" from ( Digit or Number or Numeral) ?? James was watching Cartoon Cartoon's! He watch 7 each day. If he keeps this up for 10 days how many Cartoon Cartoon's will he watch in all? Which expression is equal to 8 less than the product of y and 9"'? Describe, in detail, the working conditions that you see in the photograph. What percent is 15 of 50? Explain the steps in finding the percent The area of the United States that was most affected by Brown v. Board of Education wasthe South.the rural North and South.the urban North and South.the North. Identify the claim in the passage? Someone plz help me :( The number of days' sales in receivables a.measures the number of times the receivables turn over each year. b.is not useful in evaluating the efficiency of collecting receivables. c.is calculated as Average Receivables/Sales. d.is an estimate of the length of time the receivables have been outstanding. how do I rewrite the equation of velocity, so that I'm solving for time and no velocity?V= D/T is the formula for solving for velocity Solve for y. Y/4 - y-1/2>3 List out any two common essence of all religions PLEASE HELP I DO ANYTHING 2 Which kinds of food do not containanyfibre? give two similarities between the way the fungus feeds and the way that you feed 25/36 x 1 1/10 x 1 1/10 in simplest form Consider the graph of this absolute value function. Drag and drop the choices to the boxes to correctly describe the end behavior of the function. Correct answers only What issues do you see being possible with theelectoral college? why doesnt dr. logan feel the bed bug feeding on him? I WILL GIVVVVE YOUUU 100 POINTS PLZ HELP IM JUST A HELP NEEDING 12 LIVING IN THE MIDDLE OF NOWHERE IM SO YOUNG BUT HAVE SUCH HARD WORK I AM BEGGING YOU MORE THAN ANYTHING FOR HELP PLZZZZZZZZZZZZ