Find the Prime Factorization 125

Problem

125

Solution

1. Identify the smallest prime number that divides the given number. Since 125 ends in 5 it is divisible by 5

2. Divide the number by that prime factor:

125÷5=25

3. Repeat the process for the quotient. The number 25 is also divisible by 5

25÷5=5

4. Continue until the quotient is a prime number. The number 5 is prime:

5÷5=1

5. Write the result as a product of the prime factors found:

5×5×5

6. Simplify the expression using exponents:

5

Final Answer

125=5

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