Q: What are the prime factors of the number 306,707,373?

 A: 3, 7, 4868371

Why are those the prime factors of the number 306,707,373?

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 306,707,373

306,707,373
Factor Arrows
3102,235,791
Factor Arrows
334,078,597
Factor Arrows
74,868,371

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, 7, 4868371

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 4,868,371 = 306,707,373

This can also be written as 32 x 71 x 4,868,3711 = 306,707,373

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


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