Q: What are the prime factors of the number 503,604?

 A: 2, 3, 4663

Why are those the prime factors of the number 503,604?

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 503,604

503,604
Factor Arrows
2251,802
Factor Arrows
2125,901
Factor Arrows
341,967
Factor Arrows
313,989
Factor Arrows
34,663

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, 4663

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 4,663 = 503,604

This can also be written as 22 x 33 x 4,6631 = 503,604

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


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