Question

Determine the prime factorisation of 58500

• A. 2 x 2 x 3 x 5 x 5 x 5 x 5 x 17
• B. 2 x 2 x 3 x 3 x 5 x 5 x 5 x 17
• C. 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13
• D. 2 x 3 x 3 x 3 x 5 x 5 x 5 x 13

Answer 1

The correct option is C 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13

58500 can be factorised as following:

$\begin{array}{cc}2& 58500\\ 2& 29250\\ 3& 14625\\ 3& 4875\\ 5& 1625\\ 5& 325\\ 5& 65\\ 13& 13\\ & 1\end{array}$
Thus, 58500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13