Q: What are the prime factors of the number 602,084?

 A: 2, 7, 21503

Why are those the prime factors of the number 602,084?

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 602,084

602,084
Factor Arrows
2301,042
Factor Arrows
2150,521
Factor Arrows
721,503

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, 7, 21503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 21,503 = 602,084

This can also be written as 22 x 71 x 21,5031 = 602,084

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


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