Question

What is the prime factorisation $729$?

Answer 1

Determine the prime factorisation $729$.

$729$ is a perfect square number that can be written as follows:

$729={27}^2$

Rewrite the expression.

$\begin{array}{rcl}& \Rightarrow & 729=27\times 27\\ & \Rightarrow & 729=\left(3\times 9\right)\times \left(3\times 9\right)\\ & \Rightarrow & 729=\left(3\times 3\times 3\right)\times \left(3\times 3\times 3\right)\\ \therefore 729& =& 3^6\end{array}$

Hence, the prime factorisation $729$ is $3^6$.