Q: What is the total or count of factors of the number 152,313,350?

 A: 24

How do I find the total factors of the number 152,313,350?

Step 1

Find the prime factorization of the number 152,313,350.

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

Factor Tree
152,313,350
Factor Arrows
276,156,675
Factor Arrows
515,231,335
Factor Arrows
53,046,267
Factor Arrows
7435,181

The prime factorization in exponential form is: 21 x 52 x 71 x 435,1811

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.

152,313,350 = 21 x 52 x 71 x 435,1811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(152313350) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(152313350) = (2)(3)(2)(2)
Down Arrow
d(152313350) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 152,313,350 and how to find them.

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