Q: What are the prime factors of the number 121,024,446?

 A: 2, 3, 43, 10909

Why are those the prime factors of the number 121,024,446?

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 121,024,446

121,024,446
Factor Arrows
260,512,223
Factor Arrows
320,170,741
Factor Arrows
43469,087
Factor Arrows
4310,909

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, 43, 10909

We can check our work by multiplying all of the prime factors together: 2 x 3 x 43 x 43 x 10,909 = 121,024,446

This can also be written as 21 x 31 x 432 x 10,9091 = 121,024,446

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


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