Q: What is the total or count of factors of the number 636,376?

 A: 32

How do I find the total factors of the number 636,376?

Step 1

Find the prime factorization of the number 636,376.

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

Factor Tree
636,376
Factor Arrows
2318,188
Factor Arrows
2159,094
Factor Arrows
279,547
Factor Arrows
136,119
Factor Arrows
29211

The prime factorization in exponential form is: 23 x 131 x 291 x 2111

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.

636,376 = 23 x 131 x 291 x 2111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(636376) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(636376) = (4)(2)(2)(2)
Down Arrow
d(636376) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 636,376 and how to find them.

Try the factor calculator.

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