Q: What are the prime factors of the number 595,450?

 A: 2, 5, 11909

Why are those the prime factors of the number 595,450?

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 595,450

595,450
Factor Arrows
2297,725
Factor Arrows
559,545
Factor Arrows
511,909

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, 11909

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 11,909 = 595,450

This can also be written as 21 x 52 x 11,9091 = 595,450

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


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