Q: What is the total or count of factors of the number 10,156,320?

 A: 96

How do I find the total factors of the number 10,156,320?

Step 1

Find the prime factorization of the number 10,156,320.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
10,156,320
Factor Arrows
25,078,160
Factor Arrows
22,539,080
Factor Arrows
21,269,540
Factor Arrows
2634,770
Factor Arrows
2317,385
Factor Arrows
3105,795
Factor Arrows
335,265
Factor Arrows
311,755
Factor Arrows
52,351

The prime factorization in exponential form is: 25 x 33 x 51 x 2,3511

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

10,156,320 = 25 x 33 x 51 x 2,3511
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(10156320) = (5 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(10156320) = (6)(4)(2)(2)
Down Arrow
d(10156320) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 10,156,320 and how to find them.

Try the factor calculator.

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