Q: What are the prime factors of the number 277,477,707?

 A: 3, 13, 47, 151379

Why are those the prime factors of the number 277,477,707?

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 277,477,707

277,477,707
Factor Arrows
392,492,569
Factor Arrows
137,114,813
Factor Arrows
47151,379

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, 13, 47, 151379

We can check our work by multiplying all of the prime factors together: 3 x 13 x 47 x 151,379 = 277,477,707

This can also be written as 31 x 131 x 471 x 151,3791 = 277,477,707

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


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