Q: What are the prime factors of the number 121,884,426?

 A: 2, 3, 83597

Why are those the prime factors of the number 121,884,426?

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 121,884,426

121,884,426
Factor Arrows
260,942,213
Factor Arrows
320,314,071
Factor Arrows
36,771,357
Factor Arrows
32,257,119
Factor Arrows
3752,373
Factor Arrows
3250,791
Factor Arrows
383,597

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, 83597

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 83,597 = 121,884,426

This can also be written as 21 x 36 x 83,5971 = 121,884,426

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


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