Find the Prime Factorization 100

Problem

100

Solution

1. Identify the smallest prime number that divides the given number. Since 100 is even, it is divisible by 2.

100=2×50

2. Divide the resulting quotient by the smallest prime number possible. Since 50 is even, divide by 2 again.

50=2×25

3. Continue the process with the next quotient. Since 25 is not divisible by 2 or 3, divide by the next prime number, which is 5.

25=5×5

4. Verify that all factors are prime numbers. The factors are 2, 2, 5, and 5.

5. Write the prime factorization using exponents to group identical factors.

100=2×5

Final Answer

100=2×5

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