Q: What are the prime factors of the number 391,041?

 A: 3, 7, 2069

Why are those the prime factors of the number 391,041?

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 391,041

391,041
Factor Arrows
3130,347
Factor Arrows
343,449
Factor Arrows
314,483
Factor Arrows
72,069

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, 7, 2069

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 2,069 = 391,041

This can also be written as 33 x 71 x 2,0691 = 391,041

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


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