Discussion
Which of the following is not a factor of 3630 ?
Answer: D
The number that is not a factor is 9.
Factorise 3630:
\[ \begin{aligned} 3630 &= 10 \times 363 = 2 \times 5 \times 3 \times 121 \\ &= 2 \times 3 \times 5 \times 11^{2} \end{aligned} \]
So 11, 3 and 5 are factors. 3 appears only once, so 9 = 3 x 3 is not. The divisibility test confirms it: the digit sum of 3630 is 3 + 6 + 3 + 0 = 12, which is divisible by 3 but not by 9.
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