Q: What are the prime factors of the number 611,757,512?

 A: 2, 17, 264601

Why are those the prime factors of the number 611,757,512?

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 611,757,512

611,757,512
Factor Arrows
2305,878,756
Factor Arrows
2152,939,378
Factor Arrows
276,469,689
Factor Arrows
174,498,217
Factor Arrows
17264,601

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, 17, 264601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 17 x 264,601 = 611,757,512

This can also be written as 23 x 172 x 264,6011 = 611,757,512

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


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