Q: What are the prime factors of the number 68,882,677?

 A: 23, 59, 2207

Why are those the prime factors of the number 68,882,677?

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 68,882,677

68,882,677
Factor Arrows
232,994,899
Factor Arrows
23130,213
Factor Arrows
592,207

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:

23, 59, 2207

We can check our work by multiplying all of the prime factors together: 23 x 23 x 59 x 2,207 = 68,882,677

This can also be written as 232 x 591 x 2,2071 = 68,882,677

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


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