Q: What are the prime factors of the number 604,260?

 A: 2, 3, 5, 373

Why are those the prime factors of the number 604,260?

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 604,260

604,260
Factor Arrows
2302,130
Factor Arrows
2151,065
Factor Arrows
350,355
Factor Arrows
316,785
Factor Arrows
35,595
Factor Arrows
31,865
Factor Arrows
5373

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, 373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 373 = 604,260

This can also be written as 22 x 34 x 51 x 3731 = 604,260

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


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