Q: What is the total or count of factors of the number 341,544,332?

 A: 24

How do I find the total factors of the number 341,544,332?

Step 1

Find the prime factorization of the number 341,544,332.

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

Factor Tree
341,544,332
Factor Arrows
2170,772,166
Factor Arrows
285,386,083
Factor Arrows
163523,841
Factor Arrows
607863

The prime factorization in exponential form is: 22 x 1631 x 6071 x 8631

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.

341,544,332 = 22 x 1631 x 6071 x 8631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(341544332) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(341544332) = (3)(2)(2)(2)
Down Arrow
d(341544332) = 24

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Take a look at the factors page to see the factors of 341,544,332 and how to find them.

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