Q: What are the prime factors of the number 318,881,045?

 A: 5, 7, 151, 60337

Why are those the prime factors of the number 318,881,045?

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 318,881,045

318,881,045
Factor Arrows
563,776,209
Factor Arrows
79,110,887
Factor Arrows
15160,337

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:

5, 7, 151, 60337

We can check our work by multiplying all of the prime factors together: 5 x 7 x 151 x 60,337 = 318,881,045

This can also be written as 51 x 71 x 1511 x 60,3371 = 318,881,045

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


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