Q: What are the prime factors of the number 2,668,480?

 A: 2, 5, 31, 269

Why are those the prime factors of the number 2,668,480?

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 2,668,480

2,668,480
Factor Arrows
21,334,240
Factor Arrows
2667,120
Factor Arrows
2333,560
Factor Arrows
2166,780
Factor Arrows
283,390
Factor Arrows
241,695
Factor Arrows
58,339
Factor Arrows
31269

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, 5, 31, 269

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 5 x 31 x 269 = 2,668,480

This can also be written as 26 x 51 x 311 x 2691 = 2,668,480

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


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