Q: What are the prime factors of the number 2,766,560?

 A: 2, 5, 17291

Why are those the prime factors of the number 2,766,560?

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 2,766,560

2,766,560
Factor Arrows
21,383,280
Factor Arrows
2691,640
Factor Arrows
2345,820
Factor Arrows
2172,910
Factor Arrows
286,455
Factor Arrows
517,291

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, 17291

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 17,291 = 2,766,560

This can also be written as 25 x 51 x 17,2911 = 2,766,560

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


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