Q: What are the prime factors of the number 121,012,464?

 A: 2, 3, 2521093

Why are those the prime factors of the number 121,012,464?

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 121,012,464

121,012,464
Factor Arrows
260,506,232
Factor Arrows
230,253,116
Factor Arrows
215,126,558
Factor Arrows
27,563,279
Factor Arrows
32,521,093

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, 2521093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 2,521,093 = 121,012,464

This can also be written as 24 x 31 x 2,521,0931 = 121,012,464

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


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