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Prime Factorization of 360
What are the prime factors of 360?


The prime factors of 360 are the prime numbers that can be divided into 360 exactly, with no remainder. The prime factorization of 360 is the list of prime factors of 360.

If you multiply all the prime factors of 360 you will get 360.

To find all the prime factors of 360, divide it by the lowest prime number possible.

Then divide that result by the lowest prime number possible. Keep doing this until the result itself is a prime number.

The prime factorization of 360 will be all the prime numbers you used to divide, in addition to the last result, which is a prime number.

The math and the solutions to prime factorization of 360 is as follows:

360 / 2 = 180
180 / 2 = 90
90 / 2 = 45
45 / 3 = 15
15 / 3 = 5

2 x 2 x 2 x 3 x 3 x 5


NOTE: The solution above must be correct, because they are all prime numbers and if you multiply them together you will find that they equal 360.





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Prime Factorization of 361
Do you think you can do it without our calculator, based on how we got the prime factorization of 360 on this page? If so, try one number higher and check your answer here.

Factors of 360
Don't confuse prime factors with factors! Go here if you want to see all the factors of 360.


 


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