Q: What are the prime factors of the number 3,066,240?

 A: 2, 3, 5, 1597

Why are those the prime factors of the number 3,066,240?

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 3,066,240

3,066,240
Factor Arrows
21,533,120
Factor Arrows
2766,560
Factor Arrows
2383,280
Factor Arrows
2191,640
Factor Arrows
295,820
Factor Arrows
247,910
Factor Arrows
223,955
Factor Arrows
37,985
Factor Arrows
51,597

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, 1597

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 1,597 = 3,066,240

This can also be written as 27 x 31 x 51 x 1,5971 = 3,066,240

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


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