Q: What is the total or count of factors of the number 62,830,656?

 A: 84

How do I find the total factors of the number 62,830,656?

Step 1

Find the prime factorization of the number 62,830,656.

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

Factor Tree
62,830,656
Factor Arrows
231,415,328
Factor Arrows
215,707,664
Factor Arrows
27,853,832
Factor Arrows
23,926,916
Factor Arrows
21,963,458
Factor Arrows
2981,729
Factor Arrows
3327,243
Factor Arrows
3109,081
Factor Arrows
715,583

The prime factorization in exponential form is: 26 x 32 x 71 x 15,5831

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.

62,830,656 = 26 x 32 x 71 x 15,5831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(62830656) = (6 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(62830656) = (7)(3)(2)(2)
Down Arrow
d(62830656) = 84

More numbers for you to try

Take a look at the factors page to see the factors of 62,830,656 and how to find them.

Try the factor calculator.

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