Q: What are the prime factors of the number 236,555,640?

 A: 2, 3, 5, 24337

Why are those the prime factors of the number 236,555,640?

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 236,555,640

236,555,640
Factor Arrows
2118,277,820
Factor Arrows
259,138,910
Factor Arrows
229,569,455
Factor Arrows
39,856,485
Factor Arrows
33,285,495
Factor Arrows
31,095,165
Factor Arrows
3365,055
Factor Arrows
3121,685
Factor Arrows
524,337

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, 24337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 24,337 = 236,555,640

This can also be written as 23 x 35 x 51 x 24,3371 = 236,555,640

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


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