Q: What are the prime factors of the number 318,881,043?

 A: 3, 13, 302831

Why are those the prime factors of the number 318,881,043?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 318,881,043

318,881,043
Factor Arrows
3106,293,681
Factor Arrows
335,431,227
Factor Arrows
311,810,409
Factor Arrows
33,936,803
Factor Arrows
13302,831

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 13, 302831

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 13 x 302,831 = 318,881,043

This can also be written as 34 x 131 x 302,8311 = 318,881,043

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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