Q: What are the prime factors of the number 626,844?

 A: 2, 3, 52237

Why are those the prime factors of the number 626,844?

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 626,844

626,844
Factor Arrows
2313,422
Factor Arrows
2156,711
Factor Arrows
352,237

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, 3, 52237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 52,237 = 626,844

This can also be written as 22 x 31 x 52,2371 = 626,844

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


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