It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 908 is not a prime number.
For example, 137 908 can be divided by 2: 137 908 / 2 = 68 954.
For 137 908 to be a prime number, it would have been required that 137 908 has only two divisors, i.e., itself and 1.
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137 908 is an even number, because it is evenly divisible by 2: 137 908 / 2 = 68 954.
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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 137 908 is about 371.360.
Thus, the square root of 137 908 is not an integer, and therefore 137 908 is not a square number.
The square of a number (here 137 908) is the result of the product of this number (137 908) by itself (i.e., 137 908 × 137 908); the square of 137 908 is sometimes called "raising 137 908 to the power 2", or "137 908 squared".
The square of 137 908 is 19 018 616 464 because 137 908 × 137 908 = 137 9082 = 19 018 616 464.
As a consequence, 137 908 is the square root of 19 018 616 464.
The multiples of 137 908 are all integers evenly divisible by 137 908, that is all numbers such that the remainder of the division by 137 908 is zero. There are infinitely many multiples of 137 908. The smallest multiples of 137 908 are: