Q: What are the prime factors of the number 3,777,655?

 A: 5, 7, 17, 907

Why are those the prime factors of the number 3,777,655?

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 3,777,655

3,777,655
Factor Arrows
5755,531
Factor Arrows
7107,933
Factor Arrows
715,419
Factor Arrows
17907

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:

5, 7, 17, 907

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 17 x 907 = 3,777,655

This can also be written as 51 x 72 x 171 x 9071 = 3,777,655

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


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