Q: What are the prime factors of the number 44,529,966?

 A: 2, 3, 13, 229, 277

Why are those the prime factors of the number 44,529,966?

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 44,529,966

44,529,966
Factor Arrows
222,264,983
Factor Arrows
37,421,661
Factor Arrows
32,473,887
Factor Arrows
3824,629
Factor Arrows
1363,433
Factor Arrows
229277

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, 229, 277

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 13 x 229 x 277 = 44,529,966

This can also be written as 21 x 33 x 131 x 2291 x 2771 = 44,529,966

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


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