Q: What are the prime factors of the number 51,166,012?

 A: 2, 19, 223, 3019

Why are those the prime factors of the number 51,166,012?

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 51,166,012

51,166,012
Factor Arrows
225,583,006
Factor Arrows
212,791,503
Factor Arrows
19673,237
Factor Arrows
2233,019

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, 19, 223, 3019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 223 x 3,019 = 51,166,012

This can also be written as 22 x 191 x 2231 x 3,0191 = 51,166,012

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


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