Q: What are the prime factors of the number 121,240,304?

 A: 2, 937, 8087

Why are those the prime factors of the number 121,240,304?

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 121,240,304

121,240,304
Factor Arrows
260,620,152
Factor Arrows
230,310,076
Factor Arrows
215,155,038
Factor Arrows
27,577,519
Factor Arrows
9378,087

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, 937, 8087

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 937 x 8,087 = 121,240,304

This can also be written as 24 x 9371 x 8,0871 = 121,240,304

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


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