Find the Prime Factorization 80

Problem

80

Solution

1. Identify the smallest prime number that divides the given number. Since 80 is even, it is divisible by 2.

80=2×40

2. Divide the resulting quotient by the smallest prime number again. 40 is even, so divide by 2.

40=2×20

3. Continue the process of dividing by 2 until the quotient is no longer even.

20=2×10

10=2×5

4. Identify the next prime factor. The remaining quotient is 5, which is a prime number.

5=5×1

5. Collect all the prime factors found in the previous steps. The factors are four 2s and one 5.

2×2×2×2×5

6. Write the prime factorization using exponents for repeated factors.

2×5

Final Answer

80=2×5

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