It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 202 138 is not a prime number.
For example, 202 138 can be divided by 2: 202 138 / 2 = 101 069.
For 202 138 to be a prime number, it would have been required that 202 138 has only two divisors, i.e., itself and 1.
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202 138 is an even number, because it is evenly divisible by 2: 202 138 / 2 = 101 069.
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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 202 138 is about 449.598.
Thus, the square root of 202 138 is not an integer, and therefore 202 138 is not a square number.
The square of a number (here 202 138) is the result of the product of this number (202 138) by itself (i.e., 202 138 × 202 138); the square of 202 138 is sometimes called "raising 202 138 to the power 2", or "202 138 squared".
The square of 202 138 is 40 859 771 044 because 202 138 × 202 138 = 202 1382 = 40 859 771 044.
As a consequence, 202 138 is the square root of 40 859 771 044.
The multiples of 202 138 are all integers evenly divisible by 202 138, that is all numbers such that the remainder of the division by 202 138 is zero. There are infinitely many multiples of 202 138. The smallest multiples of 202 138 are: