It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 238 is not a prime number.
For example, 137 238 can be divided by 2: 137 238 / 2 = 68 619.
For 137 238 to be a prime number, it would have been required that 137 238 has only two divisors, i.e., itself and 1.
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137 238 is an even number, because it is evenly divisible by 2: 137 238 / 2 = 68 619.
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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 137 238 is about 370.456.
Thus, the square root of 137 238 is not an integer, and therefore 137 238 is not a square number.
The square of a number (here 137 238) is the result of the product of this number (137 238) by itself (i.e., 137 238 × 137 238); the square of 137 238 is sometimes called "raising 137 238 to the power 2", or "137 238 squared".
The square of 137 238 is 18 834 268 644 because 137 238 × 137 238 = 137 2382 = 18 834 268 644.
As a consequence, 137 238 is the square root of 18 834 268 644.
The multiples of 137 238 are all integers evenly divisible by 137 238, that is all numbers such that the remainder of the division by 137 238 is zero. There are infinitely many multiples of 137 238. The smallest multiples of 137 238 are: