Q: What are the prime factors of the number 277,114,502?

 A: 2, 7, 403957

Why are those the prime factors of the number 277,114,502?

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 277,114,502

277,114,502
Factor Arrows
2138,557,251
Factor Arrows
719,793,893
Factor Arrows
72,827,699
Factor Arrows
7403,957

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, 7, 403957

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 7 x 403,957 = 277,114,502

This can also be written as 21 x 73 x 403,9571 = 277,114,502

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


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