

I also just work it out in my head. There are certain “landmark” numbers and tricks that I use to save time. For example, 9 times any number is easy: multiply by 10 and subtract once. x11 is similar. Same with anything close to a perfect square. (7 x 8 = 7 x 7 + 7)
I think that memorization was important to achieve speed before phones/calculators. Nowadays, I would consider memorization an obstacle to understanding.
Key facts, sure. If you don’t know geography, no amount of reflection can provide you with the location of Hong Kong.
However, i can figure out anything on the 12x12 timestable in a few seconds, no memorization needed. I don’t even need the landmark numbers that i mentioned because multiplication is just repeated addition. The only things i had to memorize were the numerals and the operators.