Q: What are the prime factors of the number 67,103,456?

 A: 2, 7, 299569

Why are those the prime factors of the number 67,103,456?

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 67,103,456

67,103,456
Factor Arrows
233,551,728
Factor Arrows
216,775,864
Factor Arrows
28,387,932
Factor Arrows
24,193,966
Factor Arrows
22,096,983
Factor Arrows
7299,569

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, 7, 299569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 299,569 = 67,103,456

This can also be written as 25 x 71 x 299,5691 = 67,103,456

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


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