Question

Express the prime factorization of 54 as a product of prime numbers with exponents

Answer 1

54 = 2 × 27 = 2 × 3^3, so the prime factorization is 2^1 × 3^3.

Answer 2

The positive factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54. Negative factors are also possible, because 54 ÷ (-3) = -18, so (-3) and (-18) are also factors of 54. Usually in school mathematics, we focus on positive factors. The simplest method to find all factors: Try dividing 54 by all integers from 1 up to 54.

Answer 3

54 = 2 × 27 = 2 × 3^3, so the prime factorization is 2^1 × 3^3.