Q: What are the prime factors of the number 123,002,196?

 A: 2, 3, 47, 467

Why are those the prime factors of the number 123,002,196?

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 123,002,196

123,002,196
Factor Arrows
261,501,098
Factor Arrows
230,750,549
Factor Arrows
310,250,183
Factor Arrows
47218,089
Factor Arrows
467467

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, 47, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 47 x 467 x 467 = 123,002,196

This can also be written as 22 x 31 x 471 x 4672 = 123,002,196

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


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