Q: What are the prime factors of the number 514,032,540?

 A: 2, 3, 5, 7, 29, 6029

Why are those the prime factors of the number 514,032,540?

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 514,032,540

514,032,540
Factor Arrows
2257,016,270
Factor Arrows
2128,508,135
Factor Arrows
342,836,045
Factor Arrows
58,567,209
Factor Arrows
71,223,887
Factor Arrows
7174,841
Factor Arrows
296,029

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, 7, 29, 6029

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 7 x 29 x 6,029 = 514,032,540

This can also be written as 22 x 31 x 51 x 72 x 291 x 6,0291 = 514,032,540

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


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