Q: What is the total or count of factors of the number 326,533,720?

 A: 32

How do I find the total factors of the number 326,533,720?

Step 1

Find the prime factorization of the number 326,533,720.

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

Factor Tree
326,533,720
Factor Arrows
2163,266,860
Factor Arrows
281,633,430
Factor Arrows
240,816,715
Factor Arrows
58,163,343
Factor Arrows
26930,347

The prime factorization in exponential form is: 23 x 51 x 2691 x 30,3471

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.

326,533,720 = 23 x 51 x 2691 x 30,3471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(326533720) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(326533720) = (4)(2)(2)(2)
Down Arrow
d(326533720) = 32

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Take a look at the factors page to see the factors of 326,533,720 and how to find them.

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