It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 204 is not a prime number.
For example, 137 204 can be divided by 2: 137 204 / 2 = 68 602.
For 137 204 to be a prime number, it would have been required that 137 204 has only two divisors, i.e., itself and 1.
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137 204 is an even number, because it is evenly divisible by 2: 137 204 / 2 = 68 602.
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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 137 204 is about 370.411.
Thus, the square root of 137 204 is not an integer, and therefore 137 204 is not a square number.
The square of a number (here 137 204) is the result of the product of this number (137 204) by itself (i.e., 137 204 × 137 204); the square of 137 204 is sometimes called "raising 137 204 to the power 2", or "137 204 squared".
The square of 137 204 is 18 824 937 616 because 137 204 × 137 204 = 137 2042 = 18 824 937 616.
As a consequence, 137 204 is the square root of 18 824 937 616.
The multiples of 137 204 are all integers evenly divisible by 137 204, that is all numbers such that the remainder of the division by 137 204 is zero. There are infinitely many multiples of 137 204. The smallest multiples of 137 204 are: