Q: What is the total or count of factors of the number 702,224,055?

 A: 24

How do I find the total factors of the number 702,224,055?

Step 1

Find the prime factorization of the number 702,224,055.

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

Factor Tree
702,224,055
Factor Arrows
3234,074,685
Factor Arrows
378,024,895
Factor Arrows
515,604,979
Factor Arrows
131,200,383

The prime factorization in exponential form is: 32 x 51 x 131 x 1,200,3831

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.

702,224,055 = 32 x 51 x 131 x 1,200,3831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(702224055) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(702224055) = (3)(2)(2)(2)
Down Arrow
d(702224055) = 24

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Take a look at the factors page to see the factors of 702,224,055 and how to find them.

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