Q: What is the total or count of factors of the number 958,755?

 A: 32

How do I find the total factors of the number 958,755?

Step 1

Find the prime factorization of the number 958,755.

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

Factor Tree
958,755
Factor Arrows
3319,585
Factor Arrows
563,917
Factor Arrows
79,131
Factor Arrows
23397

The prime factorization in exponential form is: 31 x 51 x 71 x 231 x 3971

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)(e + 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.

958,755 = 31 x 51 x 71 x 231 x 3971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(958755) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(958755) = (2)(2)(2)(2)(2)
Down Arrow
d(958755) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 958,755 and how to find them.

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