It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 302 is not a prime number.
For example, 137 302 can be divided by 2: 137 302 / 2 = 68 651.
For 137 302 to be a prime number, it would have been required that 137 302 has only two divisors, i.e., itself and 1.
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137 302 is an even number, because it is evenly divisible by 2: 137 302 / 2 = 68 651.
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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 137 302 is about 370.543.
Thus, the square root of 137 302 is not an integer, and therefore 137 302 is not a square number.
The square of a number (here 137 302) is the result of the product of this number (137 302) by itself (i.e., 137 302 × 137 302); the square of 137 302 is sometimes called "raising 137 302 to the power 2", or "137 302 squared".
The square of 137 302 is 18 851 839 204 because 137 302 × 137 302 = 137 3022 = 18 851 839 204.
As a consequence, 137 302 is the square root of 18 851 839 204.
The multiples of 137 302 are all integers evenly divisible by 137 302, that is all numbers such that the remainder of the division by 137 302 is zero. There are infinitely many multiples of 137 302. The smallest multiples of 137 302 are: