Find the Prime Factorization 35

Problem

35

Solution

1. Identify the smallest prime number that divides the given number. Since 35 is odd, it is not divisible by 2. The sum of the digits 3 + 5 = 8$ is not divisible by 3, so 35 is not divisible by 3.

2. Divide by the next prime number, which is 5. Since 35 ends in 5, it is divisible by 5.

35÷5=7

3. Check the resulting quotient. The number 7 is itself a prime number.

4. List the prime factors found during the division process.

Final Answer

35=5⋅7

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