Q: What are the prime factors of the number 730,708?

 A: 2, 11, 16607

Why are those the prime factors of the number 730,708?

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 730,708

730,708
Factor Arrows
2365,354
Factor Arrows
2182,677
Factor Arrows
1116,607

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, 11, 16607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 16,607 = 730,708

This can also be written as 22 x 111 x 16,6071 = 730,708

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


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