It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 107 308 is not a prime number.
For example, 107 308 can be divided by 2: 107 308 / 2 = 53 654.
For 107 308 to be a prime number, it would have been required that 107 308 has only two divisors, i.e., itself and 1.
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107 308 is an even number, because it is evenly divisible by 2: 107 308 / 2 = 53 654.
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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 107 308 is about 327.579.
Thus, the square root of 107 308 is not an integer, and therefore 107 308 is not a square number.
The square of a number (here 107 308) is the result of the product of this number (107 308) by itself (i.e., 107 308 × 107 308); the square of 107 308 is sometimes called "raising 107 308 to the power 2", or "107 308 squared".
The square of 107 308 is 11 515 006 864 because 107 308 × 107 308 = 107 3082 = 11 515 006 864.
As a consequence, 107 308 is the square root of 11 515 006 864.
The multiples of 107 308 are all integers evenly divisible by 107 308, that is all numbers such that the remainder of the division by 107 308 is zero. There are infinitely many multiples of 107 308. The smallest multiples of 107 308 are: