Lucky 7

$7 \times 14=98<100$

Solution 1: We can check that $100 = 14 \times 7 + 2$ . Hence, the largest multiple of 7 that is below 100 is $14 \times 7 = 98$ .

Solution 2: We can list out all the multiples of 7 as $7$ , $14$ , $21$ , $28$ , $35$ , $42$ , $49$ , $56$ , $63$ , $70$ , $77$ , $84$ , $91$ , $98$ , $105 \ldots$ , so the largest multiple of 7 that is below 100 is 98.

Tye answer is $\left \lfloor \dfrac{100}{7} \right \rfloor = \color{#69047E}{\boxed{14}}$ .

7+7+7+7+7+7+7+7..... until I reached 98

We simply check for divisibility by $7$ while working backwards from $100$ . $99$ (Not divisible by 7). $98=7\times14$ So the answer is $98$