It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 40 631 is not a prime number.
For example, 40 631 can be divided by 41: 40 631 / 41 = 991.
For 40 631 to be a prime number, it would have been required that 40 631 has only two divisors, i.e., itself and 1.
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40 631 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 40 631 is about 201.571.
Thus, the square root of 40 631 is not an integer, and therefore 40 631 is not a square number.
The square of a number (here 40 631) is the result of the product of this number (40 631) by itself (i.e., 40 631 × 40 631); the square of 40 631 is sometimes called "raising 40 631 to the power 2", or "40 631 squared".
The square of 40 631 is 1 650 878 161 because 40 631 × 40 631 = 40 6312 = 1 650 878 161.
As a consequence, 40 631 is the square root of 1 650 878 161.
The multiples of 40 631 are all integers evenly divisible by 40 631, that is all numbers such that the remainder of the division by 40 631 is zero. There are infinitely many multiples of 40 631. The smallest multiples of 40 631 are: