Question

Find the prime factorization of 81. Show all your work and use exponents to write your prime factorization if applicable. (2 points)

Answer 1

To find the prime factorization of 81, we need to divide it by prime numbers until we can't divide anymore.

81 is divisible by 3, so we divide it by 3:
81 ÷ 3 = 27

27 is divisible by 3, so we divide it by 3 again:
27 ÷ 3 = 9

9 is divisible by 3, so we divide it by 3 once more:
9 ÷ 3 = 3

Hence, the prime factorization of 81 is 3^4, since it can be written as the product of primes raised to their appropriate exponents.