Q: What are the prime factors of the number 223,313,500?

 A: 2, 5, 37, 12071

Why are those the prime factors of the number 223,313,500?

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 223,313,500

223,313,500
Factor Arrows
2111,656,750
Factor Arrows
255,828,375
Factor Arrows
511,165,675
Factor Arrows
52,233,135
Factor Arrows
5446,627
Factor Arrows
3712,071

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, 37, 12071

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 37 x 12,071 = 223,313,500

This can also be written as 22 x 53 x 371 x 12,0711 = 223,313,500

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


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