Q: What are the prime factors of the number 252,043,500?

 A: 2, 3, 5, 168029

Why are those the prime factors of the number 252,043,500?

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 252,043,500

252,043,500
Factor Arrows
2126,021,750
Factor Arrows
263,010,875
Factor Arrows
321,003,625
Factor Arrows
54,200,725
Factor Arrows
5840,145
Factor Arrows
5168,029

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, 168029

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 168,029 = 252,043,500

This can also be written as 22 x 31 x 53 x 168,0291 = 252,043,500

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


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