Q: What are the prime factors of the number 244,299?

 A: 3, 11, 673

Why are those the prime factors of the number 244,299?

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 244,299

244,299
Factor Arrows
381,433
Factor Arrows
117,403
Factor Arrows
11673

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, 11, 673

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 673 = 244,299

This can also be written as 31 x 112 x 6731 = 244,299

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


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