Q: What are the prime factors of the number 739,122?

 A: 2, 3, 47, 2621

Why are those the prime factors of the number 739,122?

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 739,122

739,122
Factor Arrows
2369,561
Factor Arrows
3123,187
Factor Arrows
472,621

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, 47, 2621

We can check our work by multiplying all of the prime factors together: 2 x 3 x 47 x 2,621 = 739,122

This can also be written as 21 x 31 x 471 x 2,6211 = 739,122

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


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