Q: What is the total or count of factors of the number 341,310,431?

 A: 24

How do I find the total factors of the number 341,310,431?

Step 1

Find the prime factorization of the number 341,310,431.

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

Factor Tree
341,310,431
Factor Arrows
748,758,633
Factor Arrows
76,965,519
Factor Arrows
11633,229
Factor Arrows
6131,033

The prime factorization in exponential form is: 72 x 111 x 6131 x 1,0331

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.

341,310,431 = 72 x 111 x 6131 x 1,0331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(341310431) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(341310431) = (3)(2)(2)(2)
Down Arrow
d(341310431) = 24

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Take a look at the factors page to see the factors of 341,310,431 and how to find them.

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