Q: What is the total or count of factors of the number 352,354,544?

 A: 40

How do I find the total factors of the number 352,354,544?

Step 1

Find the prime factorization of the number 352,354,544.

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

Factor Tree
352,354,544
Factor Arrows
2176,177,272
Factor Arrows
288,088,636
Factor Arrows
244,044,318
Factor Arrows
222,022,159
Factor Arrows
191,159,061
Factor Arrows
6119,001

The prime factorization in exponential form is: 24 x 191 x 611 x 19,0011

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.

352,354,544 = 24 x 191 x 611 x 19,0011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(352354544) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(352354544) = (5)(2)(2)(2)
Down Arrow
d(352354544) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 352,354,544 and how to find them.

Try the factor calculator.

Explore more about the number 352,354,544:


Ask a Question