Q: What are the prime factors of the number 1,123,512?

 A: 2, 3, 13, 277

Why are those the prime factors of the number 1,123,512?

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 1,123,512

1,123,512
Factor Arrows
2561,756
Factor Arrows
2280,878
Factor Arrows
2140,439
Factor Arrows
346,813
Factor Arrows
133,601
Factor Arrows
13277

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, 13, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 13 x 277 = 1,123,512

This can also be written as 23 x 31 x 132 x 2771 = 1,123,512

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


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