Q: What are the prime factors of the number 2,520,128?

 A: 2, 13, 233

Why are those the prime factors of the number 2,520,128?

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 2,520,128

2,520,128
Factor Arrows
21,260,064
Factor Arrows
2630,032
Factor Arrows
2315,016
Factor Arrows
2157,508
Factor Arrows
278,754
Factor Arrows
239,377
Factor Arrows
133,029
Factor Arrows
13233

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, 13, 233

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13 x 233 = 2,520,128

This can also be written as 26 x 132 x 2331 = 2,520,128

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


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