Q: What are the prime factors of the number 512,778?

 A: 2, 3, 7, 29, 421

Why are those the prime factors of the number 512,778?

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 512,778

512,778
Factor Arrows
2256,389
Factor Arrows
385,463
Factor Arrows
712,209
Factor Arrows
29421

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, 7, 29, 421

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 29 x 421 = 512,778

This can also be written as 21 x 31 x 71 x 291 x 4211 = 512,778

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


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