Q: What is the total or count of factors of the number 62,519,520?

 A: 192

How do I find the total factors of the number 62,519,520?

Step 1

Find the prime factorization of the number 62,519,520.

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

Factor Tree
62,519,520
Factor Arrows
231,259,760
Factor Arrows
215,629,880
Factor Arrows
27,814,940
Factor Arrows
23,907,470
Factor Arrows
21,953,735
Factor Arrows
3651,245
Factor Arrows
5130,249
Factor Arrows
718,607
Factor Arrows
23809

The prime factorization in exponential form is: 25 x 31 x 51 x 71 x 231 x 8091

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)(e + 1)(f + 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.

62,519,520 = 25 x 31 x 51 x 71 x 231 x 8091
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(62519520) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(62519520) = (6)(2)(2)(2)(2)(2)
Down Arrow
d(62519520) = 192

More numbers for you to try

Take a look at the factors page to see the factors of 62,519,520 and how to find them.

Try the factor calculator.

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