It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 389 138 is not a prime number.
For example, 389 138 can be divided by 2: 389 138 / 2 = 194 569.
For 389 138 to be a prime number, it would have been required that 389 138 has only two divisors, i.e., itself and 1.
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389 138 is an even number, because it is evenly divisible by 2: 389 138 / 2 = 194 569.
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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 389 138 is about 623.809.
Thus, the square root of 389 138 is not an integer, and therefore 389 138 is not a square number.
The square of a number (here 389 138) is the result of the product of this number (389 138) by itself (i.e., 389 138 × 389 138); the square of 389 138 is sometimes called "raising 389 138 to the power 2", or "389 138 squared".
The square of 389 138 is 151 428 383 044 because 389 138 × 389 138 = 389 1382 = 151 428 383 044.
As a consequence, 389 138 is the square root of 151 428 383 044.
The multiples of 389 138 are all integers evenly divisible by 389 138, that is all numbers such that the remainder of the division by 389 138 is zero. There are infinitely many multiples of 389 138. The smallest multiples of 389 138 are: