Q: What are the prime factors of the number 122,331,132?

 A: 2, 3, 7, 11, 44131

Why are those the prime factors of the number 122,331,132?

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 122,331,132

122,331,132
Factor Arrows
261,165,566
Factor Arrows
230,582,783
Factor Arrows
310,194,261
Factor Arrows
33,398,087
Factor Arrows
7485,441
Factor Arrows
1144,131

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, 7, 11, 44131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 11 x 44,131 = 122,331,132

This can also be written as 22 x 32 x 71 x 111 x 44,1311 = 122,331,132

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


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