Q: What are the prime factors of the number 594,468?

 A: 2, 3, 7, 337

Why are those the prime factors of the number 594,468?

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 594,468

594,468
Factor Arrows
2297,234
Factor Arrows
2148,617
Factor Arrows
349,539
Factor Arrows
316,513
Factor Arrows
72,359
Factor Arrows
7337

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, 7, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 7 x 337 = 594,468

This can also be written as 22 x 32 x 72 x 3371 = 594,468

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


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