Q: What are the prime factors of the number 341,487?

 A: 3, 19, 1997

Why are those the prime factors of the number 341,487?

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 341,487

341,487
Factor Arrows
3113,829
Factor Arrows
337,943
Factor Arrows
191,997

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, 19, 1997

We can check our work by multiplying all of the prime factors together: 3 x 3 x 19 x 1,997 = 341,487

This can also be written as 32 x 191 x 1,9971 = 341,487

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


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