3417 is divisible by 17 because:

3417 ÷ 17 = 201

1414 is divisible by 14 because:

1414 ÷ 14 = 101

Any 4-digit number that reads: ** "ABAB"** is divisible by

I just remembered that when I type integers with more than 3 digits, I usually use commas for digit counting. However, I made an exception with the 1st 2 examples. The following examples will include integers with more than 4 digits! (A comma is placed after every 3 digits. They're called __ thousands seperators__.)

369,123 is divisible by 3,001 because:

369,123 ÷ 3,001 = 123

145,145 is divisible by 1,001 because:

145,145 ÷ 1,001 = 145

24,682,468 is divisible by 2,468 because:

24,682,468 ÷ 2,468 = 10,001

149,298 is divisible by 1,002 because:

149,298 ÷ 1,002 = 149

333,222,111 is divisible by 111 because:

333,222,111 ÷ 111 = 3,002,001

999,999,999 is divisible by 999 because:

999,999,999 ÷ 999 = 1,001,001

1,428,570,142,857 is divisible by 142,857 because:

1,428,570,142,857 ÷ 142,857 = 10,000,001

Wait a minute! Have you noticed something about most of these examples? Most of the divisors or quotients have at least 1 __ zero or one__ as a digit! The dividend in the final example has a zero for a very special reason! Most numbers that have digit patterns like these are likely to be divisible by numbers such as

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© Derek Cumberbatch