Divisor 14057

Prime Number:
Yes!
Divisibility test:
The "SpiceWeasel42 Test"
Test Discovered by:
Matt Parker
Date:
11/11/2024

The "SpiceWeasel42 Test" for Divisibility by 14057

To determine if any number is divisible by 14057, apply the "SpiceWeasel42 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 923 and subtract this from R.
  3. Take that result and cross off its final digit (units). Take this new number and subtract 4217 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 14057. That is, your original number is divisible by 14057 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 14057-times tables, it should be easy to visually see if Y is divisible by 14057. If the Y is still much larger than 14057, the above process can be repeated until it does reduce to within small multiples of 14057.

Easy!