It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 15 564 is not a prime number.
For example, 15 564 can be divided by 2: 15 564 / 2 = 7 782.
For 15 564 to be a prime number, it would have been required that 15 564 has only two divisors, i.e., itself and 1.
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15 564 is an even number, because it is evenly divisible by 2: 15 564 / 2 = 7 782.
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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 15 564 is about 124.756.
Thus, the square root of 15 564 is not an integer, and therefore 15 564 is not a square number.
The square of a number (here 15 564) is the result of the product of this number (15 564) by itself (i.e., 15 564 × 15 564); the square of 15 564 is sometimes called "raising 15 564 to the power 2", or "15 564 squared".
The square of 15 564 is 242 238 096 because 15 564 × 15 564 = 15 5642 = 242 238 096.
As a consequence, 15 564 is the square root of 242 238 096.
The multiples of 15 564 are all integers evenly divisible by 15 564, that is all numbers such that the remainder of the division by 15 564 is zero. There are infinitely many multiples of 15 564. The smallest multiples of 15 564 are: