Q: What are the prime factors of the number 546,363?

 A: 3, 17, 3571

Why are those the prime factors of the number 546,363?

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 546,363

546,363
Factor Arrows
3182,121
Factor Arrows
360,707
Factor Arrows
173,571

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:

3, 17, 3571

We can check our work by multiplying all of the prime factors together: 3 x 3 x 17 x 3,571 = 546,363

This can also be written as 32 x 171 x 3,5711 = 546,363

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


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