Q: What are the prime factors of the number 121,243,424?

 A: 2, 227, 16691

Why are those the prime factors of the number 121,243,424?

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 121,243,424

121,243,424
Factor Arrows
260,621,712
Factor Arrows
230,310,856
Factor Arrows
215,155,428
Factor Arrows
27,577,714
Factor Arrows
23,788,857
Factor Arrows
22716,691

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, 227, 16691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 227 x 16,691 = 121,243,424

This can also be written as 25 x 2271 x 16,6911 = 121,243,424

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


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