It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 180 172 is not a prime number.
For example, 180 172 can be divided by 2: 180 172 / 2 = 90 086.
For 180 172 to be a prime number, it would have been required that 180 172 has only two divisors, i.e., itself and 1.
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180 172 is an even number, because it is evenly divisible by 2: 180 172 / 2 = 90 086.
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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 180 172 is about 424.467.
Thus, the square root of 180 172 is not an integer, and therefore 180 172 is not a square number.
The square of a number (here 180 172) is the result of the product of this number (180 172) by itself (i.e., 180 172 × 180 172); the square of 180 172 is sometimes called "raising 180 172 to the power 2", or "180 172 squared".
The square of 180 172 is 32 461 949 584 because 180 172 × 180 172 = 180 1722 = 32 461 949 584.
As a consequence, 180 172 is the square root of 32 461 949 584.
The multiples of 180 172 are all integers evenly divisible by 180 172, that is all numbers such that the remainder of the division by 180 172 is zero. There are infinitely many multiples of 180 172. The smallest multiples of 180 172 are: