Q: What are the prime factors of the number 767,663,756?

 A: 2, 29, 67, 98773

Why are those the prime factors of the number 767,663,756?

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 767,663,756

767,663,756
Factor Arrows
2383,831,878
Factor Arrows
2191,915,939
Factor Arrows
296,617,791
Factor Arrows
6798,773

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, 29, 67, 98773

We can check our work by multiplying all of the prime factors together: 2 x 2 x 29 x 67 x 98,773 = 767,663,756

This can also be written as 22 x 291 x 671 x 98,7731 = 767,663,756

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


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