It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 242 564 is not a prime number.
For example, 242 564 can be divided by 2: 242 564 / 2 = 121 282.
For 242 564 to be a prime number, it would have been required that 242 564 has only two divisors, i.e., itself and 1.
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242 564 is an even number, because it is evenly divisible by 2: 242 564 / 2 = 121 282.
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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 242 564 is about 492.508.
Thus, the square root of 242 564 is not an integer, and therefore 242 564 is not a square number.
The square of a number (here 242 564) is the result of the product of this number (242 564) by itself (i.e., 242 564 × 242 564); the square of 242 564 is sometimes called "raising 242 564 to the power 2", or "242 564 squared".
The square of 242 564 is 58 837 294 096 because 242 564 × 242 564 = 242 5642 = 58 837 294 096.
As a consequence, 242 564 is the square root of 58 837 294 096.
The multiples of 242 564 are all integers evenly divisible by 242 564, that is all numbers such that the remainder of the division by 242 564 is zero. There are infinitely many multiples of 242 564. The smallest multiples of 242 564 are: