Q: What is the total or count of factors of the number 560,308,884?

 A: 24

How do I find the total factors of the number 560,308,884?

Step 1

Find the prime factorization of the number 560,308,884.

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

Factor Tree
560,308,884
Factor Arrows
2280,154,442
Factor Arrows
2140,077,221
Factor Arrows
346,692,407
Factor Arrows
291,610,083

The prime factorization in exponential form is: 22 x 31 x 291 x 1,610,0831

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.

560,308,884 = 22 x 31 x 291 x 1,610,0831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(560308884) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(560308884) = (3)(2)(2)(2)
Down Arrow
d(560308884) = 24

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Take a look at the factors page to see the factors of 560,308,884 and how to find them.

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