Q: What are the prime factors of the number 7,686,720?

 A: 2, 3, 5, 17, 157

Why are those the prime factors of the number 7,686,720?

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 7,686,720

7,686,720
Factor Arrows
23,843,360
Factor Arrows
21,921,680
Factor Arrows
2960,840
Factor Arrows
2480,420
Factor Arrows
2240,210
Factor Arrows
2120,105
Factor Arrows
340,035
Factor Arrows
313,345
Factor Arrows
52,669
Factor Arrows
17157

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, 157

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 3 x 3 x 5 x 17 x 157 = 7,686,720

This can also be written as 26 x 32 x 51 x 171 x 1571 = 7,686,720

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


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