Q: What are the prime factors of the number 121,203,324?

 A: 2, 3, 11, 102023

Why are those the prime factors of the number 121,203,324?

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 121,203,324

121,203,324
Factor Arrows
260,601,662
Factor Arrows
230,300,831
Factor Arrows
310,100,277
Factor Arrows
33,366,759
Factor Arrows
31,122,253
Factor Arrows
11102,023

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, 11, 102023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 102,023 = 121,203,324

This can also be written as 22 x 33 x 111 x 102,0231 = 121,203,324

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


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