Q: What are the prime factors of the number 188,240?

 A: 2, 5, 13, 181

Why are those the prime factors of the number 188,240?

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 188,240

188,240
Factor Arrows
294,120
Factor Arrows
247,060
Factor Arrows
223,530
Factor Arrows
211,765
Factor Arrows
52,353
Factor Arrows
13181

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, 5, 13, 181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 13 x 181 = 188,240

This can also be written as 24 x 51 x 131 x 1811 = 188,240

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


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