It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 743 is not a prime number.
For example, 138 743 can be divided by 11: 138 743 / 11 = 12 613.
For 138 743 to be a prime number, it would have been required that 138 743 has only two divisors, i.e., itself and 1.
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138 743 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 138 743 is about 372.482.
Thus, the square root of 138 743 is not an integer, and therefore 138 743 is not a square number.
The square of a number (here 138 743) is the result of the product of this number (138 743) by itself (i.e., 138 743 × 138 743); the square of 138 743 is sometimes called "raising 138 743 to the power 2", or "138 743 squared".
The square of 138 743 is 19 249 620 049 because 138 743 × 138 743 = 138 7432 = 19 249 620 049.
As a consequence, 138 743 is the square root of 19 249 620 049.
The multiples of 138 743 are all integers evenly divisible by 138 743, that is all numbers such that the remainder of the division by 138 743 is zero. There are infinitely many multiples of 138 743. The smallest multiples of 138 743 are: