Q: What are the prime factors of the number 2,884,830?

 A: 2, 3, 5, 13, 569

Why are those the prime factors of the number 2,884,830?

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 2,884,830

2,884,830
Factor Arrows
21,442,415
Factor Arrows
3480,805
Factor Arrows
596,161
Factor Arrows
137,397
Factor Arrows
13569

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, 569

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 13 x 13 x 569 = 2,884,830

This can also be written as 21 x 31 x 51 x 132 x 5691 = 2,884,830

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


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