Q: What are the prime factors of the number 627,244?

 A: 2, 191, 821

Why are those the prime factors of the number 627,244?

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 627,244

627,244
Factor Arrows
2313,622
Factor Arrows
2156,811
Factor Arrows
191821

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, 191, 821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 191 x 821 = 627,244

This can also be written as 22 x 1911 x 8211 = 627,244

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


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