Question

Which of the following shows the prime factorisation of 48?

• A. $2\times 2\times 3\times 3$
• B. $2\times 2\times 3\times 3\times 3$
• C. $2\times 2\times 2\times 2\times 3$
• D. $2\times 2\times 2\times 2$

Answer 1

The correct option is C $2\times 2\times 2\times 2\times 3$

48 = $24\times 2$
24 = $12\times 2$
12 = $6\times 2$
6 = $2\times 3$

So, the prime factorisation of 48 is $2\times 2\times 2\times 2\times 3$

Hence 'c' is the correct option.