Q: What is the total or count of factors of the number 530,045,504?

 A: 28

How do I find the total factors of the number 530,045,504?

Step 1

Find the prime factorization of the number 530,045,504.

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

Factor Tree
530,045,504
Factor Arrows
2265,022,752
Factor Arrows
2132,511,376
Factor Arrows
266,255,688
Factor Arrows
233,127,844
Factor Arrows
216,563,922
Factor Arrows
28,281,961
Factor Arrows
21139,251

The prime factorization in exponential form is: 26 x 2111 x 39,2511

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

530,045,504 = 26 x 2111 x 39,2511
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(530045504) = (6 + 1)(1 + 1)(1 + 1)
Down Arrow
d(530045504) = (7)(2)(2)
Down Arrow
d(530045504) = 28

More numbers for you to try

Take a look at the factors page to see the factors of 530,045,504 and how to find them.

Try the factor calculator.

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