Q: What is the total or count of factors of the number 118,638?

 A: 32

How do I find the total factors of the number 118,638?

Step 1

Find the prime factorization of the number 118,638.

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

Factor Tree
118,638
Factor Arrows
259,319
Factor Arrows
319,773
Factor Arrows
36,591
Factor Arrows
32,197
Factor Arrows
13169
Factor Arrows
1313

The prime factorization in exponential form is: 21 x 33 x 133

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.

118,638 = 21 x 33 x 133
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d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(118638) = (1 + 1)(3 + 1)(3 + 1)
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d(118638) = (2)(4)(4)
Down Arrow
d(118638) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 118,638 and how to find them.

Try the factor calculator.

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