It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 10 024 is not a prime number.
For example, 10 024 can be divided by 2: 10 024 / 2 = 5 012.
For 10 024 to be a prime number, it would have been required that 10 024 has only two divisors, i.e., itself and 1.
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10 024 is an even number, because it is evenly divisible by 2: 10 024 / 2 = 5 012.
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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 10 024 is about 100.120.
Thus, the square root of 10 024 is not an integer, and therefore 10 024 is not a square number.
The square of a number (here 10 024) is the result of the product of this number (10 024) by itself (i.e., 10 024 × 10 024); the square of 10 024 is sometimes called "raising 10 024 to the power 2", or "10 024 squared".
The square of 10 024 is 100 480 576 because 10 024 × 10 024 = 10 0242 = 100 480 576.
As a consequence, 10 024 is the square root of 100 480 576.
The multiples of 10 024 are all integers evenly divisible by 10 024, that is all numbers such that the remainder of the division by 10 024 is zero. There are infinitely many multiples of 10 024. The smallest multiples of 10 024 are: