Q: What are the prime factors of the number 277,404,084?

 A: 2, 3, 7705669

Why are those the prime factors of the number 277,404,084?

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 277,404,084

277,404,084
Factor Arrows
2138,702,042
Factor Arrows
269,351,021
Factor Arrows
323,117,007
Factor Arrows
37,705,669

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, 7705669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7,705,669 = 277,404,084

This can also be written as 22 x 32 x 7,705,6691 = 277,404,084

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


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