Q: What are the prime factors of the number 190,600?

 A: 2, 5, 953

Why are those the prime factors of the number 190,600?

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 190,600

190,600
Factor Arrows
295,300
Factor Arrows
247,650
Factor Arrows
223,825
Factor Arrows
54,765
Factor Arrows
5953

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, 953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 953 = 190,600

This can also be written as 23 x 52 x 9531 = 190,600

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


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