Q: What are the prime factors of the number 123,302,324?

 A: 2, 19, 619, 2621

Why are those the prime factors of the number 123,302,324?

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 123,302,324

123,302,324
Factor Arrows
261,651,162
Factor Arrows
230,825,581
Factor Arrows
191,622,399
Factor Arrows
6192,621

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, 19, 619, 2621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 619 x 2,621 = 123,302,324

This can also be written as 22 x 191 x 6191 x 2,6211 = 123,302,324

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


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