Prime Factorization of 80
Find the prime factorization of 80. Express 80 as a product of prime numbers.
To find the prime factorization of 80, we need to express it as a product of prime numbers.
We do this by repeatedly dividing by the smallest prime that divides evenly, starting with 2.
A prime number is only divisible by 1 and itself (2, 3, 5, 7, 11, 13, ...).
Since 80 is even, we start by dividing by 2. We can divide by 2 4 times:
After dividing by 2, we have 5 remaining.
We are left with 5, which is greater than 1.
5 cannot be divided by any prime smaller than its square root.
Therefore, 5 is itself a prime number and is our final factor.
Now we combine all the prime factors we found:
Expanded form: 80 = 2 × 2 × 2 × 2 × 5
Exponential form: 80 = 2^4 × 5
We can verify: 2 × 2 × 2 × 2 × 5 = 80 ✓