Q: What are the prime factors of the number 2,345,895?

 A: 3, 5, 17377

Why are those the prime factors of the number 2,345,895?

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 2,345,895

2,345,895
Factor Arrows
3781,965
Factor Arrows
3260,655
Factor Arrows
386,885
Factor Arrows
517,377

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, 17377

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 17,377 = 2,345,895

This can also be written as 33 x 51 x 17,3771 = 2,345,895

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


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