It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 742 523 is not a prime number.
For example, 742 523 can be divided by 113: 742 523 / 113 = 6 571.
For 742 523 to be a prime number, it would have been required that 742 523 has only two divisors, i.e., itself and 1.
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742 523 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 742 523 is about 861.698.
Thus, the square root of 742 523 is not an integer, and therefore 742 523 is not a square number.
The square of a number (here 742 523) is the result of the product of this number (742 523) by itself (i.e., 742 523 × 742 523); the square of 742 523 is sometimes called "raising 742 523 to the power 2", or "742 523 squared".
The square of 742 523 is 551 340 405 529 because 742 523 × 742 523 = 742 5232 = 551 340 405 529.
As a consequence, 742 523 is the square root of 551 340 405 529.
The multiples of 742 523 are all integers evenly divisible by 742 523, that is all numbers such that the remainder of the division by 742 523 is zero. There are infinitely many multiples of 742 523. The smallest multiples of 742 523 are: