Q: What is the total or count of factors of the number 10,779,885?

 A: 40

How do I find the total factors of the number 10,779,885?

Step 1

Find the prime factorization of the number 10,779,885.

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

Factor Tree
10,779,885
Factor Arrows
33,593,295
Factor Arrows
31,197,765
Factor Arrows
3399,255
Factor Arrows
3133,085
Factor Arrows
526,617
Factor Arrows
43619

The prime factorization in exponential form is: 34 x 51 x 431 x 6191

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.

10,779,885 = 34 x 51 x 431 x 6191
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(10779885) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(10779885) = (5)(2)(2)(2)
Down Arrow
d(10779885) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 10,779,885 and how to find them.

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