Q: What is the total or count of factors of the number 174,561,312?

 A: 24

How do I find the total factors of the number 174,561,312?

Step 1

Find the prime factorization of the number 174,561,312.

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

Factor Tree
174,561,312
Factor Arrows
287,280,656
Factor Arrows
243,640,328
Factor Arrows
221,820,164
Factor Arrows
210,910,082
Factor Arrows
25,455,041
Factor Arrows
31,818,347

The prime factorization in exponential form is: 25 x 31 x 1,818,3471

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.

174,561,312 = 25 x 31 x 1,818,3471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(174561312) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(174561312) = (6)(2)(2)
Down Arrow
d(174561312) = 24

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Take a look at the factors page to see the factors of 174,561,312 and how to find them.

Try the factor calculator.

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