Q: What are the prime factors of the number 122,146,324?

 A: 2, 31, 37, 79, 337

Why are those the prime factors of the number 122,146,324?

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 122,146,324

122,146,324
Factor Arrows
261,073,162
Factor Arrows
230,536,581
Factor Arrows
31985,051
Factor Arrows
3726,623
Factor Arrows
79337

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, 31, 37, 79, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 31 x 37 x 79 x 337 = 122,146,324

This can also be written as 22 x 311 x 371 x 791 x 3371 = 122,146,324

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


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