Find the Prime Factorization 90

Problem

90

Solution

1. Identify the smallest prime number that divides the given number. Since 90 is even, it is divisible by 2.

90=2×45

2. Divide the resulting quotient by its smallest prime factor. 45 is not divisible by 2, so we check 3. Since 4 + 5 = 9$, it is divisible by 3.

45=3×15

3. Continue factoring the remaining quotient. 15 is also divisible by 3.

15=3×5

4. Recognize that the final quotient, 5, is a prime number. The process is complete.

5=5×1

5. Combine all the prime factors found in the previous steps.

2×3×3×5

6. Write the factorization using exponents for repeated factors.

2×3×5

Final Answer

90=2×3×5

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