Q: What are the prime factors of the number 236,661,616?

 A: 2, 197, 75083

Why are those the prime factors of the number 236,661,616?

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 236,661,616

236,661,616
Factor Arrows
2118,330,808
Factor Arrows
259,165,404
Factor Arrows
229,582,702
Factor Arrows
214,791,351
Factor Arrows
19775,083

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, 197, 75083

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 197 x 75,083 = 236,661,616

This can also be written as 24 x 1971 x 75,0831 = 236,661,616

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


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