It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 993 is not a prime number.
For example, 138 993 can be divided by 3: 138 993 / 3 = 46 331.
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For 138 993 to be a prime number, it would have been required that 138 993 has only two divisors, i.e., itself and 1.
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138 993 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 138 993 is about 372.818.
Thus, the square root of 138 993 is not an integer, and therefore 138 993 is not a square number.
The square of a number (here 138 993) is the result of the product of this number (138 993) by itself (i.e., 138 993 × 138 993); the square of 138 993 is sometimes called "raising 138 993 to the power 2", or "138 993 squared".
The square of 138 993 is 19 319 054 049 because 138 993 × 138 993 = 138 9932 = 19 319 054 049.
As a consequence, 138 993 is the square root of 19 319 054 049.
The multiples of 138 993 are all integers evenly divisible by 138 993, that is all numbers such that the remainder of the division by 138 993 is zero. There are infinitely many multiples of 138 993. The smallest multiples of 138 993 are: