Q: What are the prime factors of the number 121,327,812?

 A: 2, 3, 53, 63589

Why are those the prime factors of the number 121,327,812?

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 121,327,812

121,327,812
Factor Arrows
260,663,906
Factor Arrows
230,331,953
Factor Arrows
310,110,651
Factor Arrows
33,370,217
Factor Arrows
5363,589

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, 53, 63589

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 53 x 63,589 = 121,327,812

This can also be written as 22 x 32 x 531 x 63,5891 = 121,327,812

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


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