Q: What are the prime factors of the number 530,725,864?

 A: 2, 61, 1087553

Why are those the prime factors of the number 530,725,864?

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 530,725,864

530,725,864
Factor Arrows
2265,362,932
Factor Arrows
2132,681,466
Factor Arrows
266,340,733
Factor Arrows
611,087,553

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, 61, 1087553

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 61 x 1,087,553 = 530,725,864

This can also be written as 23 x 611 x 1,087,5531 = 530,725,864

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


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