Q: What is the total or count of factors of the number 220,536?

 A: 32

How do I find the total factors of the number 220,536?

Step 1

Find the prime factorization of the number 220,536.

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

Factor Tree
220,536
Factor Arrows
2110,268
Factor Arrows
255,134
Factor Arrows
227,567
Factor Arrows
39,189
Factor Arrows
33,063
Factor Arrows
31,021

The prime factorization in exponential form is: 23 x 33 x 1,0211

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.

220,536 = 23 x 33 x 1,0211
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d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(220536) = (3 + 1)(3 + 1)(1 + 1)
Down Arrow
d(220536) = (4)(4)(2)
Down Arrow
d(220536) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 220,536 and how to find them.

Try the factor calculator.

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