Q: What are the prime factors of the number 277,467,363?

 A: 3, 179, 6379

Why are those the prime factors of the number 277,467,363?

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 277,467,363

277,467,363
Factor Arrows
392,489,121
Factor Arrows
330,829,707
Factor Arrows
310,276,569
Factor Arrows
33,425,523
Factor Arrows
31,141,841
Factor Arrows
1796,379

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:

3, 179, 6379

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 179 x 6,379 = 277,467,363

This can also be written as 35 x 1791 x 6,3791 = 277,467,363

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


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