It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 2 008 212 is not a prime number.
For example, 2 008 212 can be divided by 2: 2 008 212 / 2 = 1 004 106.
For 2 008 212 to be a prime number, it would have been required that 2 008 212 has only two divisors, i.e., itself and 1.
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2 008 212 is an even number, because it is evenly divisible by 2: 2 008 212 / 2 = 1 004 106.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 2 008 212 is about 1 417.114.
Thus, the square root of 2 008 212 is not an integer, and therefore 2 008 212 is not a square number.
The square of a number (here 2 008 212) is the result of the product of this number (2 008 212) by itself (i.e., 2 008 212 × 2 008 212); the square of 2 008 212 is sometimes called "raising 2 008 212 to the power 2", or "2 008 212 squared".
The square of 2 008 212 is 4 032 915 436 944 because 2 008 212 × 2 008 212 = 2 008 2122 = 4 032 915 436 944.
As a consequence, 2 008 212 is the square root of 4 032 915 436 944.
The multiples of 2 008 212 are all integers evenly divisible by 2 008 212, that is all numbers such that the remainder of the division by 2 008 212 is zero. There are infinitely many multiples of 2 008 212. The smallest multiples of 2 008 212 are: