Q: What is the total or count of factors of the number 62,420,022?

 A: 144

How do I find the total factors of the number 62,420,022?

Step 1

Find the prime factorization of the number 62,420,022.

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

Factor Tree
62,420,022
Factor Arrows
231,210,011
Factor Arrows
310,403,337
Factor Arrows
33,467,779
Factor Arrows
7495,397
Factor Arrows
770,771
Factor Arrows
174,163
Factor Arrows
23181

The prime factorization in exponential form is: 21 x 32 x 72 x 171 x 231 x 1811

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.

62,420,022 = 21 x 32 x 72 x 171 x 231 x 1811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(62420022) = (1 + 1)(2 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(62420022) = (2)(3)(3)(2)(2)(2)
Down Arrow
d(62420022) = 144

More numbers for you to try

Take a look at the factors page to see the factors of 62,420,022 and how to find them.

Try the factor calculator.

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