What is the Prime factorization of 198
198=2*99=2*3*33=2*3*3*11
so
198=2*3²*11
in which all factors are primes.
To find the prime factorization of 198, we can follow these steps:
Step 1: Divide the number by the smallest prime number, which is 2.
198 ÷ 2 = 99
Step 2: Divide the quotient obtained in step 1 by the smallest prime number, which is 2.
99 ÷ 3 = 33
Step 3: Divide the quotient obtained in step 2 by the smallest prime number, which is 3.
33 ÷ 3 = 11
Step 4: Since 11 is a prime number, we stop here.
Therefore, the prime factorization of 198 is 2 × 3 × 3 × 11, or in exponent form, 2² × 3² × 11.
To find the prime factorization of 198, we need to divide it by prime numbers until we can't divide any further.
Step 1: Start by dividing 198 by the smallest prime number, which is 2.
198 ÷ 2 = 99
Step 2: Next, divide the quotient (in this case, 99) by another prime number, which is 3.
99 ÷ 3 = 33
Step 3: Continue dividing the quotient (in this case, 33) by prime numbers.
33 ÷ 3 = 11
Step 4: Finally, divide the remaining quotient (in this case, 11) by prime numbers.
11 is a prime number, so we cannot divide it any further.
Now, let's put together all the prime factors we obtained:
198 = 2 × 3 × 3 × 11
Therefore, the prime factorization of 198 is 2 × 3 × 3 × 11.