Q: What is the total or count of factors of the number 174,413,714?

 A: 16

How do I find the total factors of the number 174,413,714?

Step 1

Find the prime factorization of the number 174,413,714.

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

Factor Tree
174,413,714
Factor Arrows
287,206,857
Factor Arrows
293,007,133
Factor Arrows
19315,581

The prime factorization in exponential form is: 21 x 291 x 1931 x 15,5811

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.

174,413,714 = 21 x 291 x 1931 x 15,5811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(174413714) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(174413714) = (2)(2)(2)(2)
Down Arrow
d(174413714) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 174,413,714 and how to find them.

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