It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 168 is not a prime number.
For example, 138 168 can be divided by 2: 138 168 / 2 = 69 084.
For 138 168 to be a prime number, it would have been required that 138 168 has only two divisors, i.e., itself and 1.
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138 168 is an even number, because it is evenly divisible by 2: 138 168 / 2 = 69 084.
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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 138 168 is about 371.710.
Thus, the square root of 138 168 is not an integer, and therefore 138 168 is not a square number.
The square of a number (here 138 168) is the result of the product of this number (138 168) by itself (i.e., 138 168 × 138 168); the square of 138 168 is sometimes called "raising 138 168 to the power 2", or "138 168 squared".
The square of 138 168 is 19 090 396 224 because 138 168 × 138 168 = 138 1682 = 19 090 396 224.
As a consequence, 138 168 is the square root of 19 090 396 224.
The multiples of 138 168 are all integers evenly divisible by 138 168, that is all numbers such that the remainder of the division by 138 168 is zero. There are infinitely many multiples of 138 168. The smallest multiples of 138 168 are: