Q: What are the prime factors of the number 510,530,733?

 A: 3, 179, 316903

Why are those the prime factors of the number 510,530,733?

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 510,530,733

510,530,733
Factor Arrows
3170,176,911
Factor Arrows
356,725,637
Factor Arrows
179316,903

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:

3, 179, 316903

We can check our work by multiplying all of the prime factors together: 3 x 3 x 179 x 316,903 = 510,530,733

This can also be written as 32 x 1791 x 316,9031 = 510,530,733

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


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