It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 267 908 is not a prime number.
For example, 267 908 can be divided by 2: 267 908 / 2 = 133 954.
For 267 908 to be a prime number, it would have been required that 267 908 has only two divisors, i.e., itself and 1.
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267 908 is an even number, because it is evenly divisible by 2: 267 908 / 2 = 133 954.
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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 267 908 is about 517.598.
Thus, the square root of 267 908 is not an integer, and therefore 267 908 is not a square number.
The square of a number (here 267 908) is the result of the product of this number (267 908) by itself (i.e., 267 908 × 267 908); the square of 267 908 is sometimes called "raising 267 908 to the power 2", or "267 908 squared".
The square of 267 908 is 71 774 696 464 because 267 908 × 267 908 = 267 9082 = 71 774 696 464.
As a consequence, 267 908 is the square root of 71 774 696 464.
The multiples of 267 908 are all integers evenly divisible by 267 908, that is all numbers such that the remainder of the division by 267 908 is zero. There are infinitely many multiples of 267 908. The smallest multiples of 267 908 are: