Q: What are the prime factors of the number 530,725,866?

 A: 2, 3, 11, 43, 4349

Why are those the prime factors of the number 530,725,866?

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 530,725,866

530,725,866
Factor Arrows
2265,362,933
Factor Arrows
388,454,311
Factor Arrows
118,041,301
Factor Arrows
43187,007
Factor Arrows
434,349

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, 11, 43, 4349

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 43 x 43 x 4,349 = 530,725,866

This can also be written as 21 x 31 x 111 x 432 x 4,3491 = 530,725,866

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


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