It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 316 is not a prime number.
For example, 138 316 can be divided by 2: 138 316 / 2 = 69 158.
For 138 316 to be a prime number, it would have been required that 138 316 has only two divisors, i.e., itself and 1.
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138 316 is an even number, because it is evenly divisible by 2: 138 316 / 2 = 69 158.
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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 138 316 is about 371.909.
Thus, the square root of 138 316 is not an integer, and therefore 138 316 is not a square number.
The square of a number (here 138 316) is the result of the product of this number (138 316) by itself (i.e., 138 316 × 138 316); the square of 138 316 is sometimes called "raising 138 316 to the power 2", or "138 316 squared".
The square of 138 316 is 19 131 315 856 because 138 316 × 138 316 = 138 3162 = 19 131 315 856.
As a consequence, 138 316 is the square root of 19 131 315 856.
The multiples of 138 316 are all integers evenly divisible by 138 316, that is all numbers such that the remainder of the division by 138 316 is zero. There are infinitely many multiples of 138 316. The smallest multiples of 138 316 are: