It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 723 is not a prime number.
For example, 138 723 can be divided by 3: 138 723 / 3 = 46 241.
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For 138 723 to be a prime number, it would have been required that 138 723 has only two divisors, i.e., itself and 1.
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138 723 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 138 723 is about 372.455.
Thus, the square root of 138 723 is not an integer, and therefore 138 723 is not a square number.
The square of a number (here 138 723) is the result of the product of this number (138 723) by itself (i.e., 138 723 × 138 723); the square of 138 723 is sometimes called "raising 138 723 to the power 2", or "138 723 squared".
The square of 138 723 is 19 244 070 729 because 138 723 × 138 723 = 138 7232 = 19 244 070 729.
As a consequence, 138 723 is the square root of 19 244 070 729.
The multiples of 138 723 are all integers evenly divisible by 138 723, that is all numbers such that the remainder of the division by 138 723 is zero. There are infinitely many multiples of 138 723. The smallest multiples of 138 723 are: