Q: What are the prime factors of the number 119,229,056?

 A: 2, 23, 40499

Why are those the prime factors of the number 119,229,056?

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 119,229,056

119,229,056
Factor Arrows
259,614,528
Factor Arrows
229,807,264
Factor Arrows
214,903,632
Factor Arrows
27,451,816
Factor Arrows
23,725,908
Factor Arrows
21,862,954
Factor Arrows
2931,477
Factor Arrows
2340,499

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, 23, 40499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23 x 40,499 = 119,229,056

This can also be written as 27 x 231 x 40,4991 = 119,229,056

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


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