Q: What are the prime factors of the number 151,650?

 A: 2, 3, 5, 337

Why are those the prime factors of the number 151,650?

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 151,650

151,650
Factor Arrows
275,825
Factor Arrows
325,275
Factor Arrows
38,425
Factor Arrows
51,685
Factor Arrows
5337

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, 5, 337

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 337 = 151,650

This can also be written as 21 x 32 x 52 x 3371 = 151,650

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


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