Q: What are the prime factors of the number 2,260,320?

 A: 2, 3, 5, 17, 277

Why are those the prime factors of the number 2,260,320?

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 2,260,320

2,260,320
Factor Arrows
21,130,160
Factor Arrows
2565,080
Factor Arrows
2282,540
Factor Arrows
2141,270
Factor Arrows
270,635
Factor Arrows
323,545
Factor Arrows
54,709
Factor Arrows
17277

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, 5, 17, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 277 = 2,260,320

This can also be written as 25 x 31 x 51 x 171 x 2771 = 2,260,320

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


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