What is the prime factorization of 80 using exponents?

The prime factorization of 80 is written as 2⁴ × 5¹.

To find this, we start by dividing 80 by the smallest prime number, which is 2:

• 80 ÷ 2 = 40
• 40 ÷ 2 = 20
• 20 ÷ 2 = 10
• 10 ÷ 2 = 5
• 5 is a prime number, so we stop here.

Now, we can express 80 as a product of its prime factors:

• 80 = 2 × 2 × 2 × 2 × 5

Since there are four 2s, we can write this in exponential form as 2⁴ and since there is one 5, we write it as 5¹. Thus, the prime factorization of 80 is:

2⁴ × 5¹