Q: What are the prime factors of the number 787,370,812?

 A: 2, 59, 3336317

Why are those the prime factors of the number 787,370,812?

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 787,370,812

787,370,812
Factor Arrows
2393,685,406
Factor Arrows
2196,842,703
Factor Arrows
593,336,317

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, 59, 3336317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 59 x 3,336,317 = 787,370,812

This can also be written as 22 x 591 x 3,336,3171 = 787,370,812

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


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