Q: What are the prime factors of the number 121,221,528?

 A: 2, 3, 5050897

Why are those the prime factors of the number 121,221,528?

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 121,221,528

121,221,528
Factor Arrows
260,610,764
Factor Arrows
230,305,382
Factor Arrows
215,152,691
Factor Arrows
35,050,897

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, 5050897

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5,050,897 = 121,221,528

This can also be written as 23 x 31 x 5,050,8971 = 121,221,528

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


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