Find the Prime Factorization 45

Problem

45

Solution

1. Identify the smallest prime number that divides the given number. Since 45 is odd, it is not divisible by 2. The sum of the digits 4 + 5 = 9$ is divisible by 3, so 45 is divisible by 3.

2. Divide 45 by 3 to find the next factor.

45÷3=15

3. Repeat the process for 15. The sum of the digits 1 + 5 = 6$ is divisible by 3.

15÷3=5

4. Identify the remaining factor. The number 5 is a prime number.

5. Write the prime factorization by multiplying all the prime factors found.

45=3×3×5

6. Simplify the expression using exponents.

45=3×5

Final Answer

45=3×5

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