Find the Prime Factorization 175

Problem

175

Solution

1. Identify the smallest prime number that divides the given number. Since 175 ends in 5 it is divisible by 5

2. Divide 175 by 5 to find the next factor.

175÷5=35

3. Identify the smallest prime number that divides 35 Again, since it ends in 5 it is divisible by 5

4. Divide 35 by 5 to find the final factor.

35÷5=7

5. Verify that the remaining quotient, 7 is a prime number.

6. Write the prime factorization as a product of these prime factors.

175=5×5×7

7. Simplify the expression using exponents.

175=5×7

Final Answer

175=5×7

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