It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 465 264 is not a prime number.
For example, 465 264 can be divided by 2: 465 264 / 2 = 232 632.
For 465 264 to be a prime number, it would have been required that 465 264 has only two divisors, i.e., itself and 1.
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465 264 is an even number, because it is evenly divisible by 2: 465 264 / 2 = 232 632.
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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 465 264 is about 682.103.
Thus, the square root of 465 264 is not an integer, and therefore 465 264 is not a square number.
The square of a number (here 465 264) is the result of the product of this number (465 264) by itself (i.e., 465 264 × 465 264); the square of 465 264 is sometimes called "raising 465 264 to the power 2", or "465 264 squared".
The square of 465 264 is 216 470 589 696 because 465 264 × 465 264 = 465 2642 = 216 470 589 696.
As a consequence, 465 264 is the square root of 216 470 589 696.
The multiples of 465 264 are all integers evenly divisible by 465 264, that is all numbers such that the remainder of the division by 465 264 is zero. There are infinitely many multiples of 465 264. The smallest multiples of 465 264 are: