Q: What are the prime factors of the number 287,776?

 A: 2, 17, 23

Why are those the prime factors of the number 287,776?

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 287,776

287,776
Factor Arrows
2143,888
Factor Arrows
271,944
Factor Arrows
235,972
Factor Arrows
217,986
Factor Arrows
28,993
Factor Arrows
17529
Factor Arrows
2323

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, 17, 23

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 23 x 23 = 287,776

This can also be written as 25 x 171 x 232 = 287,776

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


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