Q: What are the prime factors of the number 27,261,012?

 A: 2, 3, 2271751

Why are those the prime factors of the number 27,261,012?

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 27,261,012

27,261,012
Factor Arrows
213,630,506
Factor Arrows
26,815,253
Factor Arrows
32,271,751

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, 2271751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 2,271,751 = 27,261,012

This can also be written as 22 x 31 x 2,271,7511 = 27,261,012

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


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