Q: What are the prime factors of the number 119,759,504?

 A: 2, 383, 19543

Why are those the prime factors of the number 119,759,504?

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 119,759,504

119,759,504
Factor Arrows
259,879,752
Factor Arrows
229,939,876
Factor Arrows
214,969,938
Factor Arrows
27,484,969
Factor Arrows
38319,543

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, 383, 19543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 383 x 19,543 = 119,759,504

This can also be written as 24 x 3831 x 19,5431 = 119,759,504

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


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