Q: What is the total or count of factors of the number 187,068?

 A: 48

How do I find the total factors of the number 187,068?

Step 1

Find the prime factorization of the number 187,068.

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

Factor Tree
187,068
Factor Arrows
293,534
Factor Arrows
246,767
Factor Arrows
315,589
Factor Arrows
72,227
Factor Arrows
17131

The prime factorization in exponential form is: 22 x 31 x 71 x 171 x 1311

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)(e + 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.

187,068 = 22 x 31 x 71 x 171 x 1311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(187068) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(187068) = (3)(2)(2)(2)(2)
Down Arrow
d(187068) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 187,068 and how to find them.

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