Find the Prime Factorization 88

Problem

88

Solution

1. Identify the smallest prime number that divides the given number. Since 88 is even, it is divisible by 2.

88=2×44

2. Divide the resulting quotient by the smallest prime number possible. Since 44 is even, divide by 2 again.

44=2×22

3. Continue the process of dividing the quotients by prime numbers. Divide 22 by 2.

22=2×11

4. Recognize that the final quotient, 11, is a prime number, so the factorization is complete.

11=11×1

5. Write the prime factorization by multiplying all the prime factors found and using exponents for repeated factors.

2×2×2×11=2×11

Final Answer

88=2×11

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