Q: What is the total or count of factors of the number 27,326,736?

 A: 60

How do I find the total factors of the number 27,326,736?

Step 1

Find the prime factorization of the number 27,326,736.

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

Factor Tree
27,326,736
Factor Arrows
213,663,368
Factor Arrows
26,831,684
Factor Arrows
23,415,842
Factor Arrows
21,707,921
Factor Arrows
3569,307
Factor Arrows
3189,769
Factor Arrows
1091,741

The prime factorization in exponential form is: 24 x 32 x 1091 x 1,7411

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.

27,326,736 = 24 x 32 x 1091 x 1,7411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(27326736) = (4 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(27326736) = (5)(3)(2)(2)
Down Arrow
d(27326736) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 27,326,736 and how to find them.

Try the factor calculator.

Explore more about the number 27,326,736:


Ask a Question