Q: What are the prime factors of the number 46,147,066?

 A: 2, 7, 37, 89087

Why are those the prime factors of the number 46,147,066?

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 46,147,066

46,147,066
Factor Arrows
223,073,533
Factor Arrows
73,296,219
Factor Arrows
3789,087

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, 37, 89087

We can check our work by multiplying all of the prime factors together: 2 x 7 x 37 x 89,087 = 46,147,066

This can also be written as 21 x 71 x 371 x 89,0871 = 46,147,066

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


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