Q: What are the prime factors of the number 27,759,276?

 A: 2, 3, 771091

Why are those the prime factors of the number 27,759,276?

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 27,759,276

27,759,276
Factor Arrows
213,879,638
Factor Arrows
26,939,819
Factor Arrows
32,313,273
Factor Arrows
3771,091

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, 771091

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 771,091 = 27,759,276

This can also be written as 22 x 32 x 771,0911 = 27,759,276

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


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