Q: What are the prime factors of the number 2,720,640?

 A: 2, 3, 5, 13, 109

Why are those the prime factors of the number 2,720,640?

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 2,720,640

2,720,640
Factor Arrows
21,360,320
Factor Arrows
2680,160
Factor Arrows
2340,080
Factor Arrows
2170,040
Factor Arrows
285,020
Factor Arrows
242,510
Factor Arrows
221,255
Factor Arrows
37,085
Factor Arrows
51,417
Factor Arrows
13109

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, 13, 109

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 3 x 5 x 13 x 109 = 2,720,640

This can also be written as 27 x 31 x 51 x 131 x 1091 = 2,720,640

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


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