It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 132 193 is not a prime number.
For example, 132 193 can be divided by 163: 132 193 / 163 = 811.
For 132 193 to be a prime number, it would have been required that 132 193 has only two divisors, i.e., itself and 1.
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132 193 is an odd number, because it is not evenly divisible by 2.
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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 132 193 is about 363.584.
Thus, the square root of 132 193 is not an integer, and therefore 132 193 is not a square number.
The square of a number (here 132 193) is the result of the product of this number (132 193) by itself (i.e., 132 193 × 132 193); the square of 132 193 is sometimes called "raising 132 193 to the power 2", or "132 193 squared".
The square of 132 193 is 17 474 989 249 because 132 193 × 132 193 = 132 1932 = 17 474 989 249.
As a consequence, 132 193 is the square root of 17 474 989 249.
The multiples of 132 193 are all integers evenly divisible by 132 193, that is all numbers such that the remainder of the division by 132 193 is zero. There are infinitely many multiples of 132 193. The smallest multiples of 132 193 are: