Q: What are the prime factors of the number 68,011,509?

 A: 3, 17, 43, 31013

Why are those the prime factors of the number 68,011,509?

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 68,011,509

68,011,509
Factor Arrows
322,670,503
Factor Arrows
171,333,559
Factor Arrows
4331,013

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, 17, 43, 31013

We can check our work by multiplying all of the prime factors together: 3 x 17 x 43 x 31,013 = 68,011,509

This can also be written as 31 x 171 x 431 x 31,0131 = 68,011,509

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


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