If one number divides into another with no remainder, the first number is called a divisor or a factor of the second. Example: 5 divides into 30 exactly 6 times with no remainder, so 5 is a divisor of 30; 5 is a factor of 30.
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you wouldn't have a remainder higher than 2 as 3 would be able to be divided into itself.
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You divide the number by 2. If the number is able to divide WITHOUT a remainder, then it is a prime number. If you divide a number by 1, you will get the same number. That is not a prime number.
The greatest possible remainder is 6. If it were 7 or more, you'd be able to take another 7 out of it.
Any integer can be divided by 1 without remainder.