Q: What are the prime factors of the number 244,784?

 A: 2, 15299

Why are those the prime factors of the number 244,784?

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 244,784

244,784
Factor Arrows
2122,392
Factor Arrows
261,196
Factor Arrows
230,598
Factor Arrows
215,299

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, 15299

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 15,299 = 244,784

This can also be written as 24 x 15,2991 = 244,784

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


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