Q: What are the prime factors of the number 117,266,949?

 A: 3, 23, 37, 61, 251

Why are those the prime factors of the number 117,266,949?

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 117,266,949

117,266,949
Factor Arrows
339,088,983
Factor Arrows
313,029,661
Factor Arrows
23566,507
Factor Arrows
3715,311
Factor Arrows
61251

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, 23, 37, 61, 251

We can check our work by multiplying all of the prime factors together: 3 x 3 x 23 x 37 x 61 x 251 = 117,266,949

This can also be written as 32 x 231 x 371 x 611 x 2511 = 117,266,949

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


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