Q: What are the prime factors of the number 68,820,786?

 A: 2, 3, 59, 21601

Why are those the prime factors of the number 68,820,786?

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 68,820,786

68,820,786
Factor Arrows
234,410,393
Factor Arrows
311,470,131
Factor Arrows
33,823,377
Factor Arrows
31,274,459
Factor Arrows
5921,601

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, 3, 59, 21601

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 59 x 21,601 = 68,820,786

This can also be written as 21 x 33 x 591 x 21,6011 = 68,820,786

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


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