Q: What are the prime factors of the number 688,882,684?

 A: 2, 7, 24602953

Why are those the prime factors of the number 688,882,684?

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 688,882,684

688,882,684
Factor Arrows
2344,441,342
Factor Arrows
2172,220,671
Factor Arrows
724,602,953

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, 7, 24602953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 24,602,953 = 688,882,684

This can also be written as 22 x 71 x 24,602,9531 = 688,882,684

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


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