Q: What are the prime factors of the number 604,432?

 A: 2, 37, 1021

Why are those the prime factors of the number 604,432?

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 604,432

604,432
Factor Arrows
2302,216
Factor Arrows
2151,108
Factor Arrows
275,554
Factor Arrows
237,777
Factor Arrows
371,021

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, 37, 1021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 37 x 1,021 = 604,432

This can also be written as 24 x 371 x 1,0211 = 604,432

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


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