Q: What are the prime factors of the number 515,430?

 A: 2, 3, 5, 23, 83

Why are those the prime factors of the number 515,430?

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 515,430

515,430
Factor Arrows
2257,715
Factor Arrows
385,905
Factor Arrows
328,635
Factor Arrows
39,545
Factor Arrows
51,909
Factor Arrows
2383

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, 23, 83

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 23 x 83 = 515,430

This can also be written as 21 x 33 x 51 x 231 x 831 = 515,430

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


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