Q: What are the prime factors of the number 776,061,872?

 A: 2, 79, 257, 2389

Why are those the prime factors of the number 776,061,872?

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 776,061,872

776,061,872
Factor Arrows
2388,030,936
Factor Arrows
2194,015,468
Factor Arrows
297,007,734
Factor Arrows
248,503,867
Factor Arrows
79613,973
Factor Arrows
2572,389

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, 79, 257, 2389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 79 x 257 x 2,389 = 776,061,872

This can also be written as 24 x 791 x 2571 x 2,3891 = 776,061,872

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


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