Q: What is the total or count of factors of the number 12,217,912?

 A: 32

How do I find the total factors of the number 12,217,912?

Step 1

Find the prime factorization of the number 12,217,912.

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

Factor Tree
12,217,912
Factor Arrows
26,108,956
Factor Arrows
23,054,478
Factor Arrows
21,527,239
Factor Arrows
7218,177
Factor Arrows
1911,483

The prime factorization in exponential form is: 23 x 71 x 191 x 11,4831

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.

12,217,912 = 23 x 71 x 191 x 11,4831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(12217912) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(12217912) = (4)(2)(2)(2)
Down Arrow
d(12217912) = 32

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Take a look at the factors page to see the factors of 12,217,912 and how to find them.

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