Find the Prime Factorization 64

Problem

64

Solution

1. Identify the smallest prime number that divides the given number. Since 64 is even, it is divisible by 2

2. Divide the number by 2 and record the result.

64÷2=32

3. Repeat the division process with the quotient 32 Since 32 is even, divide by 2 again.

32÷2=16

4. Continue dividing the resulting quotients by 2 until the quotient is 1

16÷2=8

8÷2=4

4÷2=2

2÷2=1

5. Count the number of times the prime factor 2 was used. The factor 2 appears 6 times.

6. Express the prime factorization using exponents.

2×2×2×2×2×2=2

Final Answer

64=2

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