There is some variation in the constant function in different calculators so you may need to experiment a little to find out how to work it. For example, with some older calculators the key sequence is 1 + + = =
Children as young as 5 years will happily use the constant function as long as they are sure of the correct sequence of keys, so practice the steps and count aloud with them before posing the problem.
You may find it useful to incorporate a hundred chart and have the children place a counter on each number to match the numbers appearing on the calculator. This can lead on to further exploration of the visual patterns produced by the counters on the chart. Older children can link this 'skip counting' to multiples, factors and multiplication tables.
The task can be varied by changing the target number to another number with several factors (e.g. 48) or to a prime number (e.g. 31). More advanced children can be challenged by a much larger number (e.g. 744 or 2 308) which will require the invention of strategies for guessing or figuring out possible factors. They will also need to find a way (other than counting) to test their 'guesses' - such as using division.
The constant function can also be used for counting on from a chosen starting number. Unless another number is keyed in, the counting starts from zero. For example: to start counting by twos starting from 5, key in 5 + 2 = = and produce the sequence

5 7 9 11 13.

Many more mathematical discoveries can be made by using the constant function with other operations.