Q: What is the total or count of factors of the number 175,151,100?

 A: 72

How do I find the total factors of the number 175,151,100?

Step 1

Find the prime factorization of the number 175,151,100.

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

Factor Tree
175,151,100
Factor Arrows
287,575,550
Factor Arrows
243,787,775
Factor Arrows
314,595,925
Factor Arrows
52,919,185
Factor Arrows
5583,837
Factor Arrows
2112,767

The prime factorization in exponential form is: 22 x 31 x 52 x 2111 x 2,7671

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.

175,151,100 = 22 x 31 x 52 x 2111 x 2,7671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(175151100) = (2 + 1)(1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(175151100) = (3)(2)(3)(2)(2)
Down Arrow
d(175151100) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 175,151,100 and how to find them.

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