Q: What are the prime factors of the number 244,146,717?

 A: 3, 47, 21377

Why are those the prime factors of the number 244,146,717?

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 244,146,717

244,146,717
Factor Arrows
381,382,239
Factor Arrows
327,127,413
Factor Arrows
39,042,471
Factor Arrows
33,014,157
Factor Arrows
31,004,719
Factor Arrows
4721,377

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, 47, 21377

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 47 x 21,377 = 244,146,717

This can also be written as 35 x 471 x 21,3771 = 244,146,717

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


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