Q: What are the prime factors of the number 244,132,122?

 A: 2, 3, 13, 41, 97, 787

Why are those the prime factors of the number 244,132,122?

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 244,132,122

244,132,122
Factor Arrows
2122,066,061
Factor Arrows
340,688,687
Factor Arrows
133,129,899
Factor Arrows
4176,339
Factor Arrows
97787

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, 13, 41, 97, 787

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 41 x 97 x 787 = 244,132,122

This can also be written as 21 x 31 x 131 x 411 x 971 x 7871 = 244,132,122

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


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