Q: What are the prime factors of the number 519,060?

 A: 2, 3, 5, 41, 211

Why are those the prime factors of the number 519,060?

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 519,060

519,060
Factor Arrows
2259,530
Factor Arrows
2129,765
Factor Arrows
343,255
Factor Arrows
58,651
Factor Arrows
41211

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, 41, 211

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 41 x 211 = 519,060

This can also be written as 22 x 31 x 51 x 411 x 2111 = 519,060

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


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