It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 201 202 is not a prime number.
For example, 201 202 can be divided by 2: 201 202 / 2 = 100 601.
For 201 202 to be a prime number, it would have been required that 201 202 has only two divisors, i.e., itself and 1.
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201 202 is an even number, because it is evenly divisible by 2: 201 202 / 2 = 100 601.
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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 201 202 is about 448.555.
Thus, the square root of 201 202 is not an integer, and therefore 201 202 is not a square number.
The square of a number (here 201 202) is the result of the product of this number (201 202) by itself (i.e., 201 202 × 201 202); the square of 201 202 is sometimes called "raising 201 202 to the power 2", or "201 202 squared".
The square of 201 202 is 40 482 244 804 because 201 202 × 201 202 = 201 2022 = 40 482 244 804.
As a consequence, 201 202 is the square root of 40 482 244 804.
The multiples of 201 202 are all integers evenly divisible by 201 202, that is all numbers such that the remainder of the division by 201 202 is zero. There are infinitely many multiples of 201 202. The smallest multiples of 201 202 are: