It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 75 342 is not a prime number.
For example, 75 342 can be divided by 2: 75 342 / 2 = 37 671.
For 75 342 to be a prime number, it would have been required that 75 342 has only two divisors, i.e., itself and 1.
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75 342 is an even number, because it is evenly divisible by 2: 75 342 / 2 = 37 671.
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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 75 342 is about 274.485.
Thus, the square root of 75 342 is not an integer, and therefore 75 342 is not a square number.
The square of a number (here 75 342) is the result of the product of this number (75 342) by itself (i.e., 75 342 × 75 342); the square of 75 342 is sometimes called "raising 75 342 to the power 2", or "75 342 squared".
The square of 75 342 is 5 676 416 964 because 75 342 × 75 342 = 75 3422 = 5 676 416 964.
As a consequence, 75 342 is the square root of 5 676 416 964.
The multiples of 75 342 are all integers evenly divisible by 75 342, that is all numbers such that the remainder of the division by 75 342 is zero. There are infinitely many multiples of 75 342. The smallest multiples of 75 342 are: