It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 10 022 is not a prime number.
For example, 10 022 can be divided by 2: 10 022 / 2 = 5 011.
For 10 022 to be a prime number, it would have been required that 10 022 has only two divisors, i.e., itself and 1.
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10 022 is an even number, because it is evenly divisible by 2: 10 022 / 2 = 5 011.
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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 10 022 is about 100.110.
Thus, the square root of 10 022 is not an integer, and therefore 10 022 is not a square number.
The square of a number (here 10 022) is the result of the product of this number (10 022) by itself (i.e., 10 022 × 10 022); the square of 10 022 is sometimes called "raising 10 022 to the power 2", or "10 022 squared".
The square of 10 022 is 100 440 484 because 10 022 × 10 022 = 10 0222 = 100 440 484.
As a consequence, 10 022 is the square root of 100 440 484.
The multiples of 10 022 are all integers evenly divisible by 10 022, that is all numbers such that the remainder of the division by 10 022 is zero. There are infinitely many multiples of 10 022. The smallest multiples of 10 022 are: