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The simplest way is to divide 748 by 4 and show that there is no remainder. That proves it.

A longer, but more general proof is as follows:

25*4 = 100 so 100 is dividsible by 4.

By the distributive property, you can show that any number of hundreds (eg 700) is divisible by 4.

So, to prove that 748 is divisible by 4, it is only necessary to show that the number formed by the last two digits (48) is divisible by 4.

This is easy, since 12*4 = 48.

The second method is not much of an advantage with a number like 748, but it would be if you were asked to prove that 75612349248 was divisible by 4!

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14y ago
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Q: How do you prove 748 is divisible by 4?
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