It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 264 564 is not a prime number.
For example, 264 564 can be divided by 2: 264 564 / 2 = 132 282.
For 264 564 to be a prime number, it would have been required that 264 564 has only two divisors, i.e., itself and 1.
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264 564 is an even number, because it is evenly divisible by 2: 264 564 / 2 = 132 282.
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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 264 564 is about 514.358.
Thus, the square root of 264 564 is not an integer, and therefore 264 564 is not a square number.
The square of a number (here 264 564) is the result of the product of this number (264 564) by itself (i.e., 264 564 × 264 564); the square of 264 564 is sometimes called "raising 264 564 to the power 2", or "264 564 squared".
The square of 264 564 is 69 994 110 096 because 264 564 × 264 564 = 264 5642 = 69 994 110 096.
As a consequence, 264 564 is the square root of 69 994 110 096.
The multiples of 264 564 are all integers evenly divisible by 264 564, that is all numbers such that the remainder of the division by 264 564 is zero. There are infinitely many multiples of 264 564. The smallest multiples of 264 564 are: