It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 238 309 is not a prime number.
For example, 238 309 can be divided by 167: 238 309 / 167 = 1 427.
For 238 309 to be a prime number, it would have been required that 238 309 has only two divisors, i.e., itself and 1.
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238 309 is an odd number, because it is not evenly divisible by 2.
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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 238 309 is about 488.169.
Thus, the square root of 238 309 is not an integer, and therefore 238 309 is not a square number.
The square of a number (here 238 309) is the result of the product of this number (238 309) by itself (i.e., 238 309 × 238 309); the square of 238 309 is sometimes called "raising 238 309 to the power 2", or "238 309 squared".
The square of 238 309 is 56 791 179 481 because 238 309 × 238 309 = 238 3092 = 56 791 179 481.
As a consequence, 238 309 is the square root of 56 791 179 481.
The multiples of 238 309 are all integers evenly divisible by 238 309, that is all numbers such that the remainder of the division by 238 309 is zero. There are infinitely many multiples of 238 309. The smallest multiples of 238 309 are: