Q: What are the prime factors of the number 67,770,728?

 A: 2, 2557, 3313

Why are those the prime factors of the number 67,770,728?

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 67,770,728

67,770,728
Factor Arrows
233,885,364
Factor Arrows
216,942,682
Factor Arrows
28,471,341
Factor Arrows
2,5573,313

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, 2557, 3313

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2,557 x 3,313 = 67,770,728

This can also be written as 23 x 2,5571 x 3,3131 = 67,770,728

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


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