Q: What are the prime factors of the number 12,261,618?

 A: 2, 3, 75689

Why are those the prime factors of the number 12,261,618?

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 12,261,618

12,261,618
Factor Arrows
26,130,809
Factor Arrows
32,043,603
Factor Arrows
3681,201
Factor Arrows
3227,067
Factor Arrows
375,689

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, 3, 75689

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 75,689 = 12,261,618

This can also be written as 21 x 34 x 75,6891 = 12,261,618

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


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