Q: What are the prime factors of the number 190,236?

 A: 2, 3, 83, 191

Why are those the prime factors of the number 190,236?

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 190,236

190,236
Factor Arrows
295,118
Factor Arrows
247,559
Factor Arrows
315,853
Factor Arrows
83191

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, 83, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 83 x 191 = 190,236

This can also be written as 22 x 31 x 831 x 1911 = 190,236

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


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