Q: What is the total or count of factors of the number 220,504?

 A: 16

How do I find the total factors of the number 220,504?

Step 1

Find the prime factorization of the number 220,504.

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

Factor Tree
220,504
Factor Arrows
2110,252
Factor Arrows
255,126
Factor Arrows
227,563
Factor Arrows
43641

The prime factorization in exponential form is: 23 x 431 x 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)

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.

220,504 = 23 x 431 x 6411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(220504) = (3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(220504) = (4)(2)(2)
Down Arrow
d(220504) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 220,504 and how to find them.

Try the factor calculator.

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