A prime number which is divided by 2,remainder is ______________(except2)
Answers
By definition, a prime number is any positive integer that is divisible by, i.e, evenly divisible by, exactly two positive integers --- itself and 1. (Remember, when we say that a number is "divisible by" or “evenly divisible by” another, we mean that the divisor divides evenly into the dividend and, consequently, there is a zero (0) remainder). Examples of the prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17, and 19 because the only positive integers that each of these numbers is evenly divisible by are itself and 1, i.e., exactly two positive integers; For example, 2 is a prime number because it is evenly divisible by only two positive integers: itself and 1, i.e., 2/2 = 1 and 2/1 = 2.
Only the smallest prime number which is 2 is divisible by 2, i.e., 2/2 = 1; otherwise, any integer greater than 2 and that is divisible by 2 is NOT a prime number but is instead a composite number, i.e., a positive integer that is divisible by more than exactly two positive integers. An integer greater than 2 and is divisible by 2 would be divisible by at least THREE positive integers and therefore would not satisfy the definition of a prime number and therefore would not be a prime number. For example, 4 is greater than 2, is divisible by 2 and is therefore not a prime number because it is divisible by THREE positive integers: 1, 2, and 4, i.e., 4/1 = 4, 4/2 = 2, and 4/4 = 1.
Answer:
none other than 2 is a prime number
Step-by-step explanation:
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