Remember that the number has no other factor than one and that number.
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There is no simple way. The difficulty wit prime numbers is that there is no pattern.
Yes, there is a way to memorize the prime numbers from 1-100. You can go through the rules of divisibility. The best way to memorize a series of numbers is just to repeat them over and over until you have them down. The average person needs to repeat something at least 20 times before they remember it.
The way to know the Prime Numbers is to find out if they can only Multiplied Once ,The way to know Composite Numbers is to find out if they can be Multiplied Twice
The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.