Find the Prime Factorization 18

Problem

18

Solution

1. Identify the smallest prime number that divides the given number. Since 18 is even, it is divisible by 2

2. Divide the number by that prime factor:

18÷2=9

3. Identify the smallest prime number that divides the resulting quotient. Since 9 is odd, we check the next prime, 3

4. Divide the quotient by that prime factor:

9÷3=3

5. Continue until the quotient is a prime number. Since 3 is prime, the process is complete.

6. Write the prime factorization as a product of these prime factors, using exponents for repeated factors.

18=2⋅3⋅3

Final Answer

18=2⋅3

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