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The two leading digits of each 4-digit number are not shown which number is divisible by 4?

Updated: 9/16/2023

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14y ago

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Alphonso Nicolas

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2y ago
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14y ago

If the last two digits of any integer are divisible by 4 the whole number is.

A hundred is divisible by 4 (25 times). So any whole number of humdreds is also divisible by 4. Hiding all but the last two digits of a number is the same as hiding the number of hundreds. But as just shown, whatever it is, it is divisible by 4. So the whole number is divisible by 4 is the last two digits are.

This can be generalised to: if the last n digits are divisible by 2n then the whole number is divisible by 2n.

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