Q: What are the prime factors of the number 3,387,615?

 A: 3, 5, 7, 11, 419

Why are those the prime factors of the number 3,387,615?

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 3,387,615

3,387,615
Factor Arrows
31,129,205
Factor Arrows
5225,841
Factor Arrows
732,263
Factor Arrows
74,609
Factor Arrows
11419

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, 5, 7, 11, 419

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 7 x 11 x 419 = 3,387,615

This can also be written as 31 x 51 x 72 x 111 x 4191 = 3,387,615

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


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