Q: What are the prime factors of the number 277,137,287?

 A: 7, 19, 179, 1663

Why are those the prime factors of the number 277,137,287?

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 277,137,287

277,137,287
Factor Arrows
739,591,041
Factor Arrows
75,655,863
Factor Arrows
19297,677
Factor Arrows
1791,663

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:

7, 19, 179, 1663

We can check our work by multiplying all of the prime factors together: 7 x 7 x 19 x 179 x 1,663 = 277,137,287

This can also be written as 72 x 191 x 1791 x 1,6631 = 277,137,287

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


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