Q: What are the prime factors of the number 3,081,240?

 A: 2, 3, 5, 317

Why are those the prime factors of the number 3,081,240?

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 3,081,240

3,081,240
Factor Arrows
21,540,620
Factor Arrows
2770,310
Factor Arrows
2385,155
Factor Arrows
3128,385
Factor Arrows
342,795
Factor Arrows
314,265
Factor Arrows
34,755
Factor Arrows
31,585
Factor Arrows
5317

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, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 317 = 3,081,240

This can also be written as 23 x 35 x 51 x 3171 = 3,081,240

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


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