Q: What is the total or count of factors of the number 927,936?

 A: 70

How do I find the total factors of the number 927,936?

Step 1

Find the prime factorization of the number 927,936.

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

Factor Tree
927,936
Factor Arrows
2463,968
Factor Arrows
2231,984
Factor Arrows
2115,992
Factor Arrows
257,996
Factor Arrows
228,998
Factor Arrows
214,499
Factor Arrows
34,833
Factor Arrows
31,611
Factor Arrows
3537
Factor Arrows
3179

The prime factorization in exponential form is: 26 x 34 x 1791

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.

927,936 = 26 x 34 x 1791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(927936) = (6 + 1)(4 + 1)(1 + 1)
Down Arrow
d(927936) = (7)(5)(2)
Down Arrow
d(927936) = 70

More numbers for you to try

Take a look at the factors page to see the factors of 927,936 and how to find them.

Try the factor calculator.

Explore more about the number 927,936:


Ask a Question