Q: What is the total or count of factors of the number 18,368?

 A: 28

How do I find the total factors of the number 18,368?

Step 1

Find the prime factorization of the number 18,368.

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

Factor Tree
18,368
Factor Arrows
29,184
Factor Arrows
24,592
Factor Arrows
22,296
Factor Arrows
21,148
Factor Arrows
2574
Factor Arrows
2287
Factor Arrows
741

The prime factorization in exponential form is: 26 x 71 x 411

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.

18,368 = 26 x 71 x 411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(18368) = (6 + 1)(1 + 1)(1 + 1)
Down Arrow
d(18368) = (7)(2)(2)
Down Arrow
d(18368) = 28

More numbers for you to try

Take a look at the factors page to see the factors of 18,368 and how to find them.

Try the factor calculator.

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