It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 260 238 is not a prime number.
For example, 260 238 can be divided by 2: 260 238 / 2 = 130 119.
For 260 238 to be a prime number, it would have been required that 260 238 has only two divisors, i.e., itself and 1.
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260 238 is an even number, because it is evenly divisible by 2: 260 238 / 2 = 130 119.
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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 260 238 is about 510.135.
Thus, the square root of 260 238 is not an integer, and therefore 260 238 is not a square number.
The square of a number (here 260 238) is the result of the product of this number (260 238) by itself (i.e., 260 238 × 260 238); the square of 260 238 is sometimes called "raising 260 238 to the power 2", or "260 238 squared".
The square of 260 238 is 67 723 816 644 because 260 238 × 260 238 = 260 2382 = 67 723 816 644.
As a consequence, 260 238 is the square root of 67 723 816 644.
The multiples of 260 238 are all integers evenly divisible by 260 238, that is all numbers such that the remainder of the division by 260 238 is zero. There are infinitely many multiples of 260 238. The smallest multiples of 260 238 are: