Q: What are the prime factors of the number 119,376?

 A: 2, 3, 829

Why are those the prime factors of the number 119,376?

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 119,376

119,376
Factor Arrows
259,688
Factor Arrows
229,844
Factor Arrows
214,922
Factor Arrows
27,461
Factor Arrows
32,487
Factor Arrows
3829

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, 829

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 829 = 119,376

This can also be written as 24 x 32 x 8291 = 119,376

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


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