Q: What is the total or count of factors of the number 342,230,331?

 A: 16

How do I find the total factors of the number 342,230,331?

Step 1

Find the prime factorization of the number 342,230,331.

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

Factor Tree
342,230,331
Factor Arrows
3114,076,777
Factor Arrows
831,374,419
Factor Arrows
11312,163

The prime factorization in exponential form is: 31 x 831 x 1131 x 12,1631

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.

342,230,331 = 31 x 831 x 1131 x 12,1631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(342230331) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(342230331) = (2)(2)(2)(2)
Down Arrow
d(342230331) = 16

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Take a look at the factors page to see the factors of 342,230,331 and how to find them.

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