Q: What are the prime factors of the number 236,055,264?

 A: 2, 3, 37, 66457

Why are those the prime factors of the number 236,055,264?

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 236,055,264

236,055,264
Factor Arrows
2118,027,632
Factor Arrows
259,013,816
Factor Arrows
229,506,908
Factor Arrows
214,753,454
Factor Arrows
27,376,727
Factor Arrows
32,458,909
Factor Arrows
3766,457

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, 37, 66457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 37 x 66,457 = 236,055,264

This can also be written as 25 x 31 x 371 x 66,4571 = 236,055,264

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


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