Q: What are the prime factors of the number 491,562?

 A: 2, 3, 9103

Why are those the prime factors of the number 491,562?

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 491,562

491,562
Factor Arrows
2245,781
Factor Arrows
381,927
Factor Arrows
327,309
Factor Arrows
39,103

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, 9103

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 9,103 = 491,562

This can also be written as 21 x 33 x 9,1031 = 491,562

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


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