Find the Prime Factorization 30

Problem

30

Solution

1. Identify the smallest prime number that divides the given number. Since 30 is even, it is divisible by 2.

30=2×15

2. Factor the resulting composite number. The number 15 is not divisible by 2, so check the next prime number, 3.

15=3×5

3. Verify that all factors are prime numbers. The numbers 2, 3, and 5 are all prime.

30=2×3×5

Final Answer

30=2×3×5

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