It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 7 974 is not a prime number.
For example, 7 974 can be divided by 2: 7 974 / 2 = 3 987.
For 7 974 to be a prime number, it would have been required that 7 974 has only two divisors, i.e., itself and 1.
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7 974 is an even number, because it is evenly divisible by 2: 7 974 / 2 = 3 987.
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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 7 974 is about 89.297.
Thus, the square root of 7 974 is not an integer, and therefore 7 974 is not a square number.
The square of a number (here 7 974) is the result of the product of this number (7 974) by itself (i.e., 7 974 × 7 974); the square of 7 974 is sometimes called "raising 7 974 to the power 2", or "7 974 squared".
The square of 7 974 is 63 584 676 because 7 974 × 7 974 = 7 9742 = 63 584 676.
As a consequence, 7 974 is the square root of 63 584 676.
The multiples of 7 974 are all integers evenly divisible by 7 974, that is all numbers such that the remainder of the division by 7 974 is zero. There are infinitely many multiples of 7 974. The smallest multiples of 7 974 are: