It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 31 972 is not a prime number.
For example, 31 972 can be divided by 2: 31 972 / 2 = 15 986.
For 31 972 to be a prime number, it would have been required that 31 972 has only two divisors, i.e., itself and 1.
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31 972 is an even number, because it is evenly divisible by 2: 31 972 / 2 = 15 986.
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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 31 972 is about 178.807.
Thus, the square root of 31 972 is not an integer, and therefore 31 972 is not a square number.
The square of a number (here 31 972) is the result of the product of this number (31 972) by itself (i.e., 31 972 × 31 972); the square of 31 972 is sometimes called "raising 31 972 to the power 2", or "31 972 squared".
The square of 31 972 is 1 022 208 784 because 31 972 × 31 972 = 31 9722 = 1 022 208 784.
As a consequence, 31 972 is the square root of 1 022 208 784.
The multiples of 31 972 are all integers evenly divisible by 31 972, that is all numbers such that the remainder of the division by 31 972 is zero. There are infinitely many multiples of 31 972. The smallest multiples of 31 972 are: