Prime Factorization of 60
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What is the Prime Factorization of 60?
Answer
or
Explanation of number 60 Prime Factorization
Prime Factorization of 60 is expressing 60 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 60.
Since number 60 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 60, we have to iteratively divide 60 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 60:
The smallest Prime Number which can divide 60 without a remainder is 2. So the first calculation step would look like:
60 ÷ 2 = 30
Now we repeat this action until the result equals 1:
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 60. It is: 2, 2, 3, 5
Or you may also write it in exponential form: 22 × 3 × 5
Prime Factor Tree of 60
We may also express the prime factorization of 60 as a Factor Tree:
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See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is a Number Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
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Prime factors are the positive integers having only two factors - 1 and the number itself
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