Q: What is the total or count of factors of the number 404,256?

 A: 24

How do I find the total factors of the number 404,256?

Step 1

Find the prime factorization of the number 404,256.

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

Factor Tree
404,256
Factor Arrows
2202,128
Factor Arrows
2101,064
Factor Arrows
250,532
Factor Arrows
225,266
Factor Arrows
212,633
Factor Arrows
34,211

The prime factorization in exponential form is: 25 x 31 x 4,2111

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.

404,256 = 25 x 31 x 4,2111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(404256) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(404256) = (6)(2)(2)
Down Arrow
d(404256) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 404,256 and how to find them.

Try the factor calculator.

Explore more about the number 404,256:


Ask a Question