Q: What are the prime factors of the number 602,712,504?

 A: 2, 3, 8371007

Why are those the prime factors of the number 602,712,504?

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 602,712,504

602,712,504
Factor Arrows
2301,356,252
Factor Arrows
2150,678,126
Factor Arrows
275,339,063
Factor Arrows
325,113,021
Factor Arrows
38,371,007

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:

2, 3, 8371007

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 8,371,007 = 602,712,504

This can also be written as 23 x 32 x 8,371,0071 = 602,712,504

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


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