Q: What are the prime factors of the number 547,530,610?

 A: 2, 5, 11, 43, 115757

Why are those the prime factors of the number 547,530,610?

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 547,530,610

547,530,610
Factor Arrows
2273,765,305
Factor Arrows
554,753,061
Factor Arrows
114,977,551
Factor Arrows
43115,757

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, 5, 11, 43, 115757

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 43 x 115,757 = 547,530,610

This can also be written as 21 x 51 x 111 x 431 x 115,7571 = 547,530,610

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


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