Divisor 2521

To determine if any number is divisible by 2521, apply the "Ken Test":

1. If your number ("X") has 10 digits or more, separate the last (smallest) 9 digits from the rest. This makes two smaller numbers, call them L^eft and R^ight (note: don't add in trailing zeros to L). If there are fewer than 10 digits, L = 0 and therefore R = X.
2. Multiply L by 28 and subtract this from R.
3. Take that result and cross off its final digit (units). Take this new number and subtract 252 times the digit you just crossed off. Call this final result "Y".
4. Y will be much smaller than X, but we have preserved divisibility by 2521. That is, your original number is divisible by 2521 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 2521-times tables, it should be easy to visually see if Y is divisible by 2521. If the Y is still much larger than 2521, the above process can be repeated until it does reduce to within small multiples of 2521.

Easy!