Q: What is the total or count of factors of the number 255,110?

 A: 16

How do I find the total factors of the number 255,110?

Step 1

Find the prime factorization of the number 255,110.

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

Factor Tree
255,110
Factor Arrows
2127,555
Factor Arrows
525,511
Factor Arrows
97263

The prime factorization in exponential form is: 21 x 51 x 971 x 2631

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.

255,110 = 21 x 51 x 971 x 2631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(255110) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(255110) = (2)(2)(2)(2)
Down Arrow
d(255110) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 255,110 and how to find them.

Try the factor calculator.

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