Q: What are the prime factors of the number 288,752?

 A: 2, 18047

Why are those the prime factors of the number 288,752?

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 288,752

288,752
Factor Arrows
2144,376
Factor Arrows
272,188
Factor Arrows
236,094
Factor Arrows
218,047

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, 18047

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 18,047 = 288,752

This can also be written as 24 x 18,0471 = 288,752

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


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