Q: What is the total or count of factors of the number 621,516,212?

 A: 24

How do I find the total factors of the number 621,516,212?

Step 1

Find the prime factorization of the number 621,516,212.

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

Factor Tree
621,516,212
Factor Arrows
2310,758,106
Factor Arrows
2155,379,053
Factor Arrows
236,755,611
Factor Arrows
41164,771

The prime factorization in exponential form is: 22 x 231 x 411 x 164,7711

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.

621,516,212 = 22 x 231 x 411 x 164,7711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(621516212) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(621516212) = (3)(2)(2)(2)
Down Arrow
d(621516212) = 24

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Take a look at the factors page to see the factors of 621,516,212 and how to find them.

Try the factor calculator.

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