Q: What is the total or count of factors of the number 174,832?

 A: 30

How do I find the total factors of the number 174,832?

Step 1

Find the prime factorization of the number 174,832.

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

Factor Tree
174,832
Factor Arrows
287,416
Factor Arrows
243,708
Factor Arrows
221,854
Factor Arrows
210,927
Factor Arrows
71,561
Factor Arrows
7223

The prime factorization in exponential form is: 24 x 72 x 2231

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.

174,832 = 24 x 72 x 2231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(174832) = (4 + 1)(2 + 1)(1 + 1)
Down Arrow
d(174832) = (5)(3)(2)
Down Arrow
d(174832) = 30

More numbers for you to try

Take a look at the factors page to see the factors of 174,832 and how to find them.

Try the factor calculator.

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