What is the prime factorization using exponents of 54?

Answer 1

The Fundamental Theorem of Arithmetic: Any integer a > 1 can be factored uniquely as a product of prime numbers, in the form

a = p1m1 x p2m2 x p3m3 x ... x pnmn

where p1 < p2 < p3 < ... < pn and the exponents m1, m2, m3, ..., mn are all positive.

54 = 2 x 33

Answer 2

Prime factorization is nothing but breaking down a number into its multiples or factors until all the numbers you reach at are prime and cannot be factorized further.

Lets see

54 = 9 * 6

= (3*3) * (3*2)

Now all these are primes and cannot be factorized further.

Hence 54 = 3 3 * 2 1

Take Care

Answer 3

The prime factorization of 54 is 2 x 3 x 3 x 3 (or 2 x 33 in exponential form).