Q: What are the prime factors of the number 2,702,720?

 A: 2, 5, 41, 103

Why are those the prime factors of the number 2,702,720?

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 2,702,720

2,702,720
Factor Arrows
21,351,360
Factor Arrows
2675,680
Factor Arrows
2337,840
Factor Arrows
2168,920
Factor Arrows
284,460
Factor Arrows
242,230
Factor Arrows
221,115
Factor Arrows
54,223
Factor Arrows
41103

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, 41, 103

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 2 x 5 x 41 x 103 = 2,702,720

This can also be written as 27 x 51 x 411 x 1031 = 2,702,720

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


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