Q: What are the prime factors of the number 236,105,500?

 A: 2, 5, 163, 2897

Why are those the prime factors of the number 236,105,500?

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 236,105,500

236,105,500
Factor Arrows
2118,052,750
Factor Arrows
259,026,375
Factor Arrows
511,805,275
Factor Arrows
52,361,055
Factor Arrows
5472,211
Factor Arrows
1632,897

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, 163, 2897

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 163 x 2,897 = 236,105,500

This can also be written as 22 x 53 x 1631 x 2,8971 = 236,105,500

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


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