Find the Prime Factorization 68

Problem

68

Solution

1. Identify the smallest prime number that divides the given number. Since 68 is even, it is divisible by 2

2. Divide 68 by 2 to find the next factor.

68÷2=34

3. Repeat the process for the quotient 34 Since 34 is also even, divide it by 2

34÷2=17

4. Determine if the remaining quotient is prime. The number 17 is a prime number because its only factors are 1 and itself.

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

2×2×17

6. Simplify the expression using exponents.

2×17

Final Answer

68=2×17

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