Step 1

According to unique factorisation theorem every number can be represented in the form of positive prime number with exponents.

Various prime numbers are 2,3,5,7,9,11,..

Step 2

Divide the number with prime number, starting from least to determine whether it is a factor or not.

\(5733 = 3\times 1911\)

\(=3^{2}\times 637\)

\(=3^{2}\times 7 \times 91\)

\(=3^{2}\times 7^{2}\times 13\)

So, prime factorization of 5733 is \(3x^{2}\times 7^{2}\times 13\).

According to unique factorisation theorem every number can be represented in the form of positive prime number with exponents.

Various prime numbers are 2,3,5,7,9,11,..

Step 2

Divide the number with prime number, starting from least to determine whether it is a factor or not.

\(5733 = 3\times 1911\)

\(=3^{2}\times 637\)

\(=3^{2}\times 7 \times 91\)

\(=3^{2}\times 7^{2}\times 13\)

So, prime factorization of 5733 is \(3x^{2}\times 7^{2}\times 13\).