Find the Prime Factorization 65

Problem

65

Solution

1. Identify the smallest prime number that can divide the given number. Since 65 is odd, it is not divisible by 2. The sum of the digits is 6 + 5 = 11$, which is not divisible by 3, so 65 is not divisible by 3.

2. Check for divisibility by the next prime number, which is 5. Since the number ends in 5, it is divisible by 5.

3. Divide 65 by 5 to find the remaining factor.

65÷5=13

4. Determine if the remaining factor is prime. The number 13 is a prime number because its only factors are 1 and itself.

5. Combine the prime factors to express the prime factorization.

Final Answer

65=5×13

Want more problems? Check here!