Q: What are the prime factors of the number 670,288?

 A: 2, 41893

Why are those the prime factors of the number 670,288?

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 670,288

670,288
Factor Arrows
2335,144
Factor Arrows
2167,572
Factor Arrows
283,786
Factor Arrows
241,893

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:

2, 41893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 41,893 = 670,288

This can also be written as 24 x 41,8931 = 670,288

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


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