Q: What is the total or count of factors of the number 3,635,392?

 A: 28

How do I find the total factors of the number 3,635,392?

Step 1

Find the prime factorization of the number 3,635,392.

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

Factor Tree
3,635,392
Factor Arrows
21,817,696
Factor Arrows
2908,848
Factor Arrows
2454,424
Factor Arrows
2227,212
Factor Arrows
2113,606
Factor Arrows
256,803
Factor Arrows
431,321

The prime factorization in exponential form is: 26 x 431 x 1,3211

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.

3,635,392 = 26 x 431 x 1,3211
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(3635392) = (6 + 1)(1 + 1)(1 + 1)
Down Arrow
d(3635392) = (7)(2)(2)
Down Arrow
d(3635392) = 28

More numbers for you to try

Take a look at the factors page to see the factors of 3,635,392 and how to find them.

Try the factor calculator.

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