Q: What are the prime factors of the number 121,132,224?

 A: 2, 3, 210299

Why are those the prime factors of the number 121,132,224?

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 121,132,224

121,132,224
Factor Arrows
260,566,112
Factor Arrows
230,283,056
Factor Arrows
215,141,528
Factor Arrows
27,570,764
Factor Arrows
23,785,382
Factor Arrows
21,892,691
Factor Arrows
3630,897
Factor Arrows
3210,299

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, 210299

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 3 x 3 x 210,299 = 121,132,224

This can also be written as 26 x 32 x 210,2991 = 121,132,224

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


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