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There is no simple way - not only for children but also for expert mathematicians. For small numbers it is relatively simple. First establish a set of primes: these are integers that cannot be divided evenly by any smaller integer (other than 1).

Then, if any given integer (>1) can be divided by any of these numbers, it is composite, and if not it is a prime.


As you get more sophisticated, you will learn that it is only necessary to test for divisibility by numbers up to (and including the square root of the given number (if that is an integer). Other than that, there is no simple rule that children can apply.


In fact, although there are some "formulae" that are likely to give primes, they are not guaranteed. In general, there is no pattern to primes and, therefore, to composites.

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9y ago
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8y ago

Prime numbers have two factors, composite numbers have more than two.

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9y ago

You can teach them by factoring the number. If it has more than 2 factors including 1 and number itself, them it is composite.

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Q: How do you teach children how to determine if a number is a prime or composite number?
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