Q: What is the total or count of factors of the number 355,114,448?

 A: 40

How do I find the total factors of the number 355,114,448?

Step 1

Find the prime factorization of the number 355,114,448.

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

Factor Tree
355,114,448
Factor Arrows
2177,557,224
Factor Arrows
288,778,612
Factor Arrows
244,389,306
Factor Arrows
222,194,653
Factor Arrows
131,707,281
Factor Arrows
4141,641

The prime factorization in exponential form is: 24 x 131 x 411 x 41,6411

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.

355,114,448 = 24 x 131 x 411 x 41,6411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(355114448) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(355114448) = (5)(2)(2)(2)
Down Arrow
d(355114448) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 355,114,448 and how to find them.

Try the factor calculator.

Explore more about the number 355,114,448:


Ask a Question