Q: What are the prime factors of the number 1,323,288?

 A: 2, 3, 18379

Why are those the prime factors of the number 1,323,288?

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 1,323,288

1,323,288
Factor Arrows
2661,644
Factor Arrows
2330,822
Factor Arrows
2165,411
Factor Arrows
355,137
Factor Arrows
318,379

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, 18379

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 18,379 = 1,323,288

This can also be written as 23 x 32 x 18,3791 = 1,323,288

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


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