Divisor 14029

Prime Number:
Yes!
Divisibility test:
The "Peeps40836 Test"
Test Discovered by:
Matt Parker
Date:
11/11/2024

The "Peeps40836 Test" for Divisibility by 14029

To determine if any number is divisible by 14029, apply the "Peeps40836 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 Left and Right (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 1149 and subtract this from R.
  3. Take that result and cross off its final digit (units). Take this new number and add 1403 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 14029. That is, your original number is divisible by 14029 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 14029-times tables, it should be easy to visually see if Y is divisible by 14029. If the Y is still much larger than 14029, the above process can be repeated until it does reduce to within small multiples of 14029.

Easy!