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How about

1 is the odd number out because

It is neither prime nor composite.

It is its own multiplicative inverse.

2 is the odd number out because

It is the only even prime.

You get the same answer whether you add it to itself or multiply it by itself.

3 is the odd number out because

It is the smallest odd prime.

The digital root (sum of all the digits) of any multiple of 3 is divisible by 3.

4 is the odd number out because

It is the smallest composite number.

It is the only number which you can obtain by adding a number to itself and multiplying the number by itself.

5 is the odd number out because

It is the only number whose multiples can have one of only two digits (0 and 5) in the units' place.

It is the only one of the five numbers for which I could not find two reasons.

The last one is a bit shaky, though!

Another possibility:-

It could be 1 because it has only one factor and its value doesn't change when raised to a power.

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Q: What is the odd number out of 1 2 3 4 and 5 giving two reasons why?
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