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Any multiple of four must be even; any number ending in three is odd.

Look at the multiples of four from 1 to 9.

They are in the order : 4,8,12,16,20,24,28,32,36.

Now, any number when multiplied by 4, will have the one's digit as the one's digit of the above multiples In the above multiples, no multiple has 3 as the one's digit, i.e., no multiple ends in three.

Take an example. 15x4 will have 0 in the one's digit because 5x4 = 20 and has 0 in the one's place.

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Q: Why cant a number that ends on 3 be a multiple of 4?
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Check it out: 4,8,12,16,20,24,28,32,36. No threes.


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