Q: What are the prime factors of the number 604,504?

 A: 2, 19, 41, 97

Why are those the prime factors of the number 604,504?

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 604,504

604,504
Factor Arrows
2302,252
Factor Arrows
2151,126
Factor Arrows
275,563
Factor Arrows
193,977
Factor Arrows
4197

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, 19, 41, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 41 x 97 = 604,504

This can also be written as 23 x 191 x 411 x 971 = 604,504

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


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