Q: What are the prime factors of the number 68,911,444?

 A: 2, 7, 50227

Why are those the prime factors of the number 68,911,444?

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 68,911,444

68,911,444
Factor Arrows
234,455,722
Factor Arrows
217,227,861
Factor Arrows
72,461,123
Factor Arrows
7351,589
Factor Arrows
750,227

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, 50227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 7 x 50,227 = 68,911,444

This can also be written as 22 x 73 x 50,2271 = 68,911,444

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


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