It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 17 742 is not a prime number.
For example, 17 742 can be divided by 2: 17 742 / 2 = 8 871.
For 17 742 to be a prime number, it would have been required that 17 742 has only two divisors, i.e., itself and 1.
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17 742 is an even number, because it is evenly divisible by 2: 17 742 / 2 = 8 871.
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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 17 742 is about 133.199.
Thus, the square root of 17 742 is not an integer, and therefore 17 742 is not a square number.
The square of a number (here 17 742) is the result of the product of this number (17 742) by itself (i.e., 17 742 × 17 742); the square of 17 742 is sometimes called "raising 17 742 to the power 2", or "17 742 squared".
The square of 17 742 is 314 778 564 because 17 742 × 17 742 = 17 7422 = 314 778 564.
As a consequence, 17 742 is the square root of 314 778 564.
The multiples of 17 742 are all integers evenly divisible by 17 742, that is all numbers such that the remainder of the division by 17 742 is zero. There are infinitely many multiples of 17 742. The smallest multiples of 17 742 are: