It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 743 138 is not a prime number.
For example, 743 138 can be divided by 2: 743 138 / 2 = 371 569.
For 743 138 to be a prime number, it would have been required that 743 138 has only two divisors, i.e., itself and 1.
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743 138 is an even number, because it is evenly divisible by 2: 743 138 / 2 = 371 569.
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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 743 138 is about 862.055.
Thus, the square root of 743 138 is not an integer, and therefore 743 138 is not a square number.
The square of a number (here 743 138) is the result of the product of this number (743 138) by itself (i.e., 743 138 × 743 138); the square of 743 138 is sometimes called "raising 743 138 to the power 2", or "743 138 squared".
The square of 743 138 is 552 254 087 044 because 743 138 × 743 138 = 743 1382 = 552 254 087 044.
As a consequence, 743 138 is the square root of 552 254 087 044.
The multiples of 743 138 are all integers evenly divisible by 743 138, that is all numbers such that the remainder of the division by 743 138 is zero. There are infinitely many multiples of 743 138. The smallest multiples of 743 138 are: