It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 10 002 is not a prime number.
For example, 10 002 can be divided by 2: 10 002 / 2 = 5 001.
For 10 002 to be a prime number, it would have been required that 10 002 has only two divisors, i.e., itself and 1.
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10 002 is an even number, because it is evenly divisible by 2: 10 002 / 2 = 5 001.
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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 10 002 is about 100.010.
Thus, the square root of 10 002 is not an integer, and therefore 10 002 is not a square number.
The square of a number (here 10 002) is the result of the product of this number (10 002) by itself (i.e., 10 002 × 10 002); the square of 10 002 is sometimes called "raising 10 002 to the power 2", or "10 002 squared".
The square of 10 002 is 100 040 004 because 10 002 × 10 002 = 10 0022 = 100 040 004.
As a consequence, 10 002 is the square root of 100 040 004.
The multiples of 10 002 are all integers evenly divisible by 10 002, that is all numbers such that the remainder of the division by 10 002 is zero. There are infinitely many multiples of 10 002. The smallest multiples of 10 002 are: