Divisor 20551

Prime Number:
Yes!
Divisibility test:
The "Rylan Test"
Test Discovered by:
Matt Parker
Date:
11/11/2024

The "Rylan Test" for Divisibility by 20551

To determine if any number is divisible by 20551, apply the "Rylan Test":

  1. If your number ("X") has 9 digits or more, separate the last (smallest) 8 digits from the rest. This makes two smaller numbers, call them Left and Right (note: don't add in trailing zeros to L). If there are fewer than 9 digits, L = 0 and therefore R = X.
  2. Multiply L by 1166 and subtract this from R.
  3. Take that result and cross off its final digit (units). Take this new number and subtract 2055 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 20551. That is, your original number is divisible by 20551 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 20551-times tables, it should be easy to visually see if Y is divisible by 20551. If the Y is still much larger than 20551, the above process can be repeated until it does reduce to within small multiples of 20551.

Easy!