Q: What is the total or count of factors of the number 132,530,004?

 A: 36

How do I find the total factors of the number 132,530,004?

Step 1

Find the prime factorization of the number 132,530,004.

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

Factor Tree
132,530,004
Factor Arrows
266,265,002
Factor Arrows
233,132,501
Factor Arrows
311,044,167
Factor Arrows
33,681,389
Factor Arrows
3799,497

The prime factorization in exponential form is: 22 x 32 x 371 x 99,4971

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.

132,530,004 = 22 x 32 x 371 x 99,4971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(132530004) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(132530004) = (3)(3)(2)(2)
Down Arrow
d(132530004) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 132,530,004 and how to find them.

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