Divisor 7607

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

The "chylex Test" for Divisibility by 7607

To determine if any number is divisible by 7607, apply the "chylex 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 1006 and subtract this from R.
  3. Take that result and cross off its final digit (units). Take this new number and subtract 2282 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 7607. That is, your original number is divisible by 7607 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 7607-times tables, it should be easy to visually see if Y is divisible by 7607. If the Y is still much larger than 7607, the above process can be repeated until it does reduce to within small multiples of 7607.

Easy!