Q: What are the prime factors of the number 119,757,616?

 A: 2, 11, 680441

Why are those the prime factors of the number 119,757,616?

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 119,757,616

119,757,616
Factor Arrows
259,878,808
Factor Arrows
229,939,404
Factor Arrows
214,969,702
Factor Arrows
27,484,851
Factor Arrows
11680,441

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, 11, 680441

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 680,441 = 119,757,616

This can also be written as 24 x 111 x 680,4411 = 119,757,616

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


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