It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 10 237 is not a prime number.
For example, 10 237 can be divided by 29: 10 237 / 29 = 353.
For 10 237 to be a prime number, it would have been required that 10 237 has only two divisors, i.e., itself and 1.
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10 237 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 10 237 is about 101.178.
Thus, the square root of 10 237 is not an integer, and therefore 10 237 is not a square number.
The square of a number (here 10 237) is the result of the product of this number (10 237) by itself (i.e., 10 237 × 10 237); the square of 10 237 is sometimes called "raising 10 237 to the power 2", or "10 237 squared".
The square of 10 237 is 104 796 169 because 10 237 × 10 237 = 10 2372 = 104 796 169.
As a consequence, 10 237 is the square root of 104 796 169.
The multiples of 10 237 are all integers evenly divisible by 10 237, that is all numbers such that the remainder of the division by 10 237 is zero. There are infinitely many multiples of 10 237. The smallest multiples of 10 237 are: