Divisor 24329

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

The "Levi Wooten Test" for Divisibility by 24329

To determine if any number is divisible by 24329, apply the "Levi Wooten Test":

  1. If your number ("X") has 8 digits or more, separate the last (smallest) 7 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 8 digits, L = 0 and therefore R = X.
  2. Multiply L by 781 and add to R.
  3. Take that result and cross off its final digit (units). Take this new number and add 2433 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 24329. That is, your original number is divisible by 24329 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 24329-times tables, it should be easy to visually see if Y is divisible by 24329. If the Y is still much larger than 24329, the above process can be repeated until it does reduce to within small multiples of 24329.

Easy!