Q: What is the total or count of factors of the number 132,733,062?

 A: 72

How do I find the total factors of the number 132,733,062?

Step 1

Find the prime factorization of the number 132,733,062.

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

Factor Tree
132,733,062
Factor Arrows
266,366,531
Factor Arrows
322,122,177
Factor Arrows
37,374,059
Factor Arrows
71,053,437
Factor Arrows
7150,491
Factor Arrows
1113,681

The prime factorization in exponential form is: 21 x 32 x 72 x 111 x 13,6811

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)

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.

132,733,062 = 21 x 32 x 72 x 111 x 13,6811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(132733062) = (1 + 1)(2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(132733062) = (2)(3)(3)(2)(2)
Down Arrow
d(132733062) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 132,733,062 and how to find them.

Try the factor calculator.

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