Q: Hey, can you share useful prime factorization techniques?
A: sure. to check if 7267 is divisible by 7, we can knock off the 7s (26) now we just have to check if 26 is divisible by 7, and it's clearly not because your local multiples of 7 are 21 and 28, not 26. so if 26 is not divisible by 7, we know by extension that 7267 is not either. because to get from 26 to 7267, you have to multiply by 10, add 7, and add 7000. multiplying by 10 will never change whether something is a multiple of 7. and adding more multiples of 7 will never change whether or not something is a multiple of 7. so if 26 is not a multiple of 7, then you know 7267 is not either. congratulations, now you are supposed to check 7267 for 11, assuming you have already checked for 3 which is much easier and i assume you already know how to do