Q: What are the prime factors of the number 68,648,355?

 A: 3, 5, 97, 15727

Why are those the prime factors of the number 68,648,355?

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 68,648,355

68,648,355
Factor Arrows
322,882,785
Factor Arrows
37,627,595
Factor Arrows
51,525,519
Factor Arrows
9715,727

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:

3, 5, 97, 15727

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 97 x 15,727 = 68,648,355

This can also be written as 32 x 51 x 971 x 15,7271 = 68,648,355

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


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