Q: What is the total or count of factors of the number 12,259,072?

 A: 36

How do I find the total factors of the number 12,259,072?

Step 1

Find the prime factorization of the number 12,259,072.

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

Factor Tree
12,259,072
Factor Arrows
26,129,536
Factor Arrows
23,064,768
Factor Arrows
21,532,384
Factor Arrows
2766,192
Factor Arrows
2383,096
Factor Arrows
2191,548
Factor Arrows
295,774
Factor Arrows
247,887
Factor Arrows
76,841

The prime factorization in exponential form is: 28 x 71 x 6,8411

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

12,259,072 = 28 x 71 x 6,8411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(12259072) = (8 + 1)(1 + 1)(1 + 1)
Down Arrow
d(12259072) = (9)(2)(2)
Down Arrow
d(12259072) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 12,259,072 and how to find them.

Try the factor calculator.

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