Q: What are the prime factors of the number 51,100,605?

 A: 3, 5, 378523

Why are those the prime factors of the number 51,100,605?

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 51,100,605

51,100,605
Factor Arrows
317,033,535
Factor Arrows
35,677,845
Factor Arrows
31,892,615
Factor Arrows
5378,523

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, 5, 378523

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 378,523 = 51,100,605

This can also be written as 33 x 51 x 378,5231 = 51,100,605

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


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