Q: What are the prime factors of the number 68,131,360?

 A: 2, 5, 11, 38711

Why are those the prime factors of the number 68,131,360?

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 68,131,360

68,131,360
Factor Arrows
234,065,680
Factor Arrows
217,032,840
Factor Arrows
28,516,420
Factor Arrows
24,258,210
Factor Arrows
22,129,105
Factor Arrows
5425,821
Factor Arrows
1138,711

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, 5, 11, 38711

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 11 x 38,711 = 68,131,360

This can also be written as 25 x 51 x 111 x 38,7111 = 68,131,360

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


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