Divisor 22201
- Prime Number:
- No, but it is a power of a prime: 1492
Test for Divisibility by 22201
To determine if any number is divisible by 22201, apply this test:
- 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.
- Multiply L by 357 and add to R.
- Take that result and cross off its final digit (units). Take this new number and subtract 2220 times the digit you just crossed off. Call this final result "Y".
- Y will be much smaller than X, but we have preserved divisibility by 22201. That is, your original number is divisible by 22201 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 22201-times tables, it should be easy to visually see if Y is divisible by 22201. If the Y is still much larger than 22201, the above process can be repeated until it does reduce to within small multiples of 22201.
Easy!