Q: What is the total or count of factors of the number 16,104?

 A: 32

How do I find the total factors of the number 16,104?

Step 1

Find the prime factorization of the number 16,104.

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

Factor Tree
16,104
Factor Arrows
28,052
Factor Arrows
24,026
Factor Arrows
22,013
Factor Arrows
3671
Factor Arrows
1161

The prime factorization in exponential form is: 23 x 31 x 111 x 611

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.

16,104 = 23 x 31 x 111 x 611
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(16104) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(16104) = (4)(2)(2)(2)
Down Arrow
d(16104) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 16,104 and how to find them.

Try the factor calculator.

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