Find the Prime Factorization 40

Problem

40

Solution

1. Identify the smallest prime number that divides the given number. Since 40 is even, it is divisible by 2.

40=2×20

2. Divide the resulting quotient by its smallest prime factor. 20 is also even, so divide by 2 again.

20=2×10

3. Continue the process for the next quotient. 10 is even, so divide by 2 once more.

10=2×5

4. Check the final quotient. 5 is a prime number, so the factorization process is complete.

5=5×1

5. Write the result as a product of prime factors using exponents for repeated factors.

2×2×2×5=2×5

Final Answer

40=2×5

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