Q: What are the prime factors of the number 277,523,656?

 A: 2, 31, 1119047

Why are those the prime factors of the number 277,523,656?

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 277,523,656

277,523,656
Factor Arrows
2138,761,828
Factor Arrows
269,380,914
Factor Arrows
234,690,457
Factor Arrows
311,119,047

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, 31, 1119047

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 31 x 1,119,047 = 277,523,656

This can also be written as 23 x 311 x 1,119,0471 = 277,523,656

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


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