Q: What are the prime factors of the number 285,344?

 A: 2, 37, 241

Why are those the prime factors of the number 285,344?

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 285,344

285,344
Factor Arrows
2142,672
Factor Arrows
271,336
Factor Arrows
235,668
Factor Arrows
217,834
Factor Arrows
28,917
Factor Arrows
37241

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, 37, 241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 37 x 241 = 285,344

This can also be written as 25 x 371 x 2411 = 285,344

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


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