It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 318 is not a prime number.
For example, 137 318 can be divided by 2: 137 318 / 2 = 68 659.
For 137 318 to be a prime number, it would have been required that 137 318 has only two divisors, i.e., itself and 1.
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137 318 is an even number, because it is evenly divisible by 2: 137 318 / 2 = 68 659.
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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 137 318 is about 370.564.
Thus, the square root of 137 318 is not an integer, and therefore 137 318 is not a square number.
The square of a number (here 137 318) is the result of the product of this number (137 318) by itself (i.e., 137 318 × 137 318); the square of 137 318 is sometimes called "raising 137 318 to the power 2", or "137 318 squared".
The square of 137 318 is 18 856 233 124 because 137 318 × 137 318 = 137 3182 = 18 856 233 124.
As a consequence, 137 318 is the square root of 18 856 233 124.
The multiples of 137 318 are all integers evenly divisible by 137 318, that is all numbers such that the remainder of the division by 137 318 is zero. There are infinitely many multiples of 137 318. The smallest multiples of 137 318 are: