It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 318 is not a prime number.
For example, 138 318 can be divided by 2: 138 318 / 2 = 69 159.
For 138 318 to be a prime number, it would have been required that 138 318 has only two divisors, i.e., itself and 1.
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138 318 is an even number, because it is evenly divisible by 2: 138 318 / 2 = 69 159.
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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 138 318 is about 371.911.
Thus, the square root of 138 318 is not an integer, and therefore 138 318 is not a square number.
The square of a number (here 138 318) is the result of the product of this number (138 318) by itself (i.e., 138 318 × 138 318); the square of 138 318 is sometimes called "raising 138 318 to the power 2", or "138 318 squared".
The square of 138 318 is 19 131 869 124 because 138 318 × 138 318 = 138 3182 = 19 131 869 124.
As a consequence, 138 318 is the square root of 19 131 869 124.
The multiples of 138 318 are all integers evenly divisible by 138 318, that is all numbers such that the remainder of the division by 138 318 is zero. There are infinitely many multiples of 138 318. The smallest multiples of 138 318 are: