Q: What is the total or count of factors of the number 636,336?

 A: 50

How do I find the total factors of the number 636,336?

Step 1

Find the prime factorization of the number 636,336.

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

Factor Tree
636,336
Factor Arrows
2318,168
Factor Arrows
2159,084
Factor Arrows
279,542
Factor Arrows
239,771
Factor Arrows
313,257
Factor Arrows
34,419
Factor Arrows
31,473
Factor Arrows
3491

The prime factorization in exponential form is: 24 x 34 x 4911

Step 2

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

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

636,336 = 24 x 34 x 4911
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(636336) = (4 + 1)(4 + 1)(1 + 1)
Down Arrow
d(636336) = (5)(5)(2)
Down Arrow
d(636336) = 50

More numbers for you to try

Take a look at the factors page to see the factors of 636,336 and how to find them.

Try the factor calculator.

Explore more about the number 636,336:


Ask a Question