Divisor 2141

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

The "CodeAsm Test" for Divisibility by 2141

To determine if any number is divisible by 2141, apply the "CodeAsm Test":

  1. If your number ("X") has 7 digits or more, separate the last (smallest) 6 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 7 digits, L = 0 and therefore R = X.
  2. Multiply L by 153 and add to R.
  3. Take that result and cross off its final digit (units). Take this new number and subtract 214 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 2141. That is, your original number is divisible by 2141 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 2141-times tables, it should be easy to visually see if Y is divisible by 2141. If the Y is still much larger than 2141, the above process can be repeated until it does reduce to within small multiples of 2141.

Easy!