Yeah, read it in another comment. Why do you think doing calculations in your head is brute-forcing? Many people can do it flawlessly, without even knowing of these "tricks". They just know. Is that brute-force?
I can absolutely try this. Doesn't mean i'll solve it. If i solve it there's no guarantee i'll be correct. Math gets way harder when i don't have a legitimate need to do it. This falls in the "no legit need" so my mind went right to "100 * 70, good enough."