Q: What are the prime factors of the number 68,820,882?

 A: 2, 3, 13, 163, 5413

Why are those the prime factors of the number 68,820,882?

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 68,820,882

68,820,882
Factor Arrows
234,410,441
Factor Arrows
311,470,147
Factor Arrows
13882,319
Factor Arrows
1635,413

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, 13, 163, 5413

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 163 x 5,413 = 68,820,882

This can also be written as 21 x 31 x 131 x 1631 x 5,4131 = 68,820,882

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


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