Q: What are the prime factors of the number 602,430?

 A: 2, 3, 5, 43, 467

Why are those the prime factors of the number 602,430?

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 602,430

602,430
Factor Arrows
2301,215
Factor Arrows
3100,405
Factor Arrows
520,081
Factor Arrows
43467

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, 5, 43, 467

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 43 x 467 = 602,430

This can also be written as 21 x 31 x 51 x 431 x 4671 = 602,430

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


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