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There are two parts to the rule:

Part 1:

If the last but one digit is even, the last digit must be 0, 4 or 8

If the last but one digit is odd, then the last digit must be 2 or 6.

Part 2:

Find the sum of the first, third, fifth, etc digits.

Find the sum of the second, fourth, sixth, etc digits.

The difference between these two sums must be a multiple of 11 ie 0, 11, 22, 33 etc.

Part 1 ensures divisibility by 4

Part 2 ensures divisibility by 11

Together, they ensure divisibility by 44.

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Q: What is the divisibility rule for 44?
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