Divisor 14159

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

The "Kenzie Classen Test" for Divisibility by 14159

To determine if any number is divisible by 14159, apply the "Kenzie Classen Test":

  1. If your number ("X") has 6 digits or more, separate the last (smallest) 5 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 6 digits, L = 0 and therefore R = X.
  2. Multiply L by 887 and add to R.
  3. Take that result and cross off its final digit (units). Take this new number and add 1416 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 14159. That is, your original number is divisible by 14159 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 14159-times tables, it should be easy to visually see if Y is divisible by 14159. If the Y is still much larger than 14159, the above process can be repeated until it does reduce to within small multiples of 14159.

Easy!