It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 743 644 is not a prime number.
For example, 743 644 can be divided by 2: 743 644 / 2 = 371 822.
For 743 644 to be a prime number, it would have been required that 743 644 has only two divisors, i.e., itself and 1.
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743 644 is an even number, because it is evenly divisible by 2: 743 644 / 2 = 371 822.
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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 743 644 is about 862.348.
Thus, the square root of 743 644 is not an integer, and therefore 743 644 is not a square number.
The square of a number (here 743 644) is the result of the product of this number (743 644) by itself (i.e., 743 644 × 743 644); the square of 743 644 is sometimes called "raising 743 644 to the power 2", or "743 644 squared".
The square of 743 644 is 553 006 398 736 because 743 644 × 743 644 = 743 6442 = 553 006 398 736.
As a consequence, 743 644 is the square root of 553 006 398 736.
The multiples of 743 644 are all integers evenly divisible by 743 644, that is all numbers such that the remainder of the division by 743 644 is zero. There are infinitely many multiples of 743 644. The smallest multiples of 743 644 are: