Q: What is the total or count of factors of the number 33,314,316?

 A: 72

How do I find the total factors of the number 33,314,316?

Step 1

Find the prime factorization of the number 33,314,316.

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

Factor Tree
33,314,316
Factor Arrows
216,657,158
Factor Arrows
28,328,579
Factor Arrows
32,776,193
Factor Arrows
7396,599
Factor Arrows
756,657
Factor Arrows
531,069

The prime factorization in exponential form is: 22 x 31 x 72 x 531 x 1,0691

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.

33,314,316 = 22 x 31 x 72 x 531 x 1,0691
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(33314316) = (2 + 1)(1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(33314316) = (3)(2)(3)(2)(2)
Down Arrow
d(33314316) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 33,314,316 and how to find them.

Try the factor calculator.

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