Q: What are the prime factors of the number 816,126,735?

 A: 3, 5, 17, 547, 5851

Why are those the prime factors of the number 816,126,735?

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 816,126,735

816,126,735
Factor Arrows
3272,042,245
Factor Arrows
554,408,449
Factor Arrows
173,200,497
Factor Arrows
5475,851

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, 5, 17, 547, 5851

We can check our work by multiplying all of the prime factors together: 3 x 5 x 17 x 547 x 5,851 = 816,126,735

This can also be written as 31 x 51 x 171 x 5471 x 5,8511 = 816,126,735

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


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