Q: What is the total or count of factors of the number 26,712,225?

 A: 36

How do I find the total factors of the number 26,712,225?

Step 1

Find the prime factorization of the number 26,712,225.

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

Factor Tree
26,712,225
Factor Arrows
38,904,075
Factor Arrows
32,968,025
Factor Arrows
5593,605
Factor Arrows
5118,721
Factor Arrows
227523

The prime factorization in exponential form is: 32 x 52 x 2271 x 5231

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.

26,712,225 = 32 x 52 x 2271 x 5231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(26712225) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(26712225) = (3)(3)(2)(2)
Down Arrow
d(26712225) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 26,712,225 and how to find them.

Try the factor calculator.

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