What are the prime numbers for 108?
you mean prime factors? Since 108 is even, start with 2:
2*54
2*2*27
...
2^2 3^3
http://www.mathwarehouse.com/arithmetic/numbers/prime-number/prime-factorization.php?number=108#primeFactorization
To find the prime numbers for 108, we need to determine which numbers divide 108 without leaving a remainder. One way to do this is by using trial division.
Start by dividing 108 by the smallest prime number, 2. Since 108 is divisible by 2, we get the quotient 54. Divide 54 by 2 again, giving us 27. Continuing this process, we find that 27 is divisible by 3, giving us a quotient of 9. And 9 is divisible by 3, resulting in a quotient of 3.
Now, we can stop because we have reached a prime number, 3, and any further divisions will only give us end in non-prime numbers.
Therefore, the prime factorization of 108 is 2 × 2 × 3 × 3. We can simplify this further to get the prime numbers for 108: 2, 2, 3, 3.