It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 11 537 is not a prime number.
For example, 11 537 can be divided by 83: 11 537 / 83 = 139.
For 11 537 to be a prime number, it would have been required that 11 537 has only two divisors, i.e., itself and 1.
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11 537 is an odd number, because it is not evenly divisible by 2.
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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 11 537 is about 107.410.
Thus, the square root of 11 537 is not an integer, and therefore 11 537 is not a square number.
The square of a number (here 11 537) is the result of the product of this number (11 537) by itself (i.e., 11 537 × 11 537); the square of 11 537 is sometimes called "raising 11 537 to the power 2", or "11 537 squared".
The square of 11 537 is 133 102 369 because 11 537 × 11 537 = 11 5372 = 133 102 369.
As a consequence, 11 537 is the square root of 133 102 369.
The multiples of 11 537 are all integers evenly divisible by 11 537, that is all numbers such that the remainder of the division by 11 537 is zero. There are infinitely many multiples of 11 537. The smallest multiples of 11 537 are: