Q: What is the total or count of factors of the number 671,112?

 A: 64

How do I find the total factors of the number 671,112?

Step 1

Find the prime factorization of the number 671,112.

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

Factor Tree
671,112
Factor Arrows
2335,556
Factor Arrows
2167,778
Factor Arrows
283,889
Factor Arrows
327,963
Factor Arrows
39,321
Factor Arrows
33,107
Factor Arrows
13239

The prime factorization in exponential form is: 23 x 33 x 131 x 2391

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.

671,112 = 23 x 33 x 131 x 2391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(671112) = (3 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(671112) = (4)(4)(2)(2)
Down Arrow
d(671112) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 671,112 and how to find them.

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