Q: What are the prime factors of the number 424,500?

 A: 2, 3, 5, 283

Why are those the prime factors of the number 424,500?

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 424,500

424,500
Factor Arrows
2212,250
Factor Arrows
2106,125
Factor Arrows
335,375
Factor Arrows
57,075
Factor Arrows
51,415
Factor Arrows
5283

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, 283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 283 = 424,500

This can also be written as 22 x 31 x 53 x 2831 = 424,500

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


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