Find the Prime Factorization 60

Problem

60

Solution

1. Identify the smallest prime number that divides the given number. Since 60 is even, it is divisible by 2.

60=2×30

2. Repeat the process for the resulting quotient. 30 is also even and can be divided by 2.

30=2×15

3. Continue factoring the next quotient. 15 is not divisible by 2, so check the next prime number, 3.

15=3×5

4. Verify that all remaining factors are prime numbers. Since 5 is a prime number, the factorization is complete.

60=2×2×3×5

5. Write the final result using exponents for repeated factors.

60=2×3×5

Final Answer

60=2⋅3⋅5

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