Divisor 26189

Prime Number:
Yes!

Test for Divisibility by 26189

To determine if any number is divisible by 26189, apply this 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 776 and subtract this from R.
  3. Take that result and cross off its final digit (units). Take this new number and add 2619 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 26189. That is, your original number is divisible by 26189 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 26189-times tables, it should be easy to visually see if Y is divisible by 26189. If the Y is still much larger than 26189, the above process can be repeated until it does reduce to within small multiples of 26189.

Easy!