Q: What are the prime factors of the number 321,232?

 A: 2, 17, 1181

Why are those the prime factors of the number 321,232?

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 321,232

321,232
Factor Arrows
2160,616
Factor Arrows
280,308
Factor Arrows
240,154
Factor Arrows
220,077
Factor Arrows
171,181

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, 1181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 1,181 = 321,232

This can also be written as 24 x 171 x 1,1811 = 321,232

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


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