Q: What are the prime factors of the number 234,552?

 A: 2, 3, 29, 337

Why are those the prime factors of the number 234,552?

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 234,552

234,552
Factor Arrows
2117,276
Factor Arrows
258,638
Factor Arrows
229,319
Factor Arrows
39,773
Factor Arrows
29337

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, 3, 29, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 29 x 337 = 234,552

This can also be written as 23 x 31 x 291 x 3371 = 234,552

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


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