It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 123 is not a prime number.
For example, 38 123 can be divided by 67: 38 123 / 67 = 569.
For 38 123 to be a prime number, it would have been required that 38 123 has only two divisors, i.e., itself and 1.
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38 123 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 38 123 is about 195.251.
Thus, the square root of 38 123 is not an integer, and therefore 38 123 is not a square number.
The square of a number (here 38 123) is the result of the product of this number (38 123) by itself (i.e., 38 123 × 38 123); the square of 38 123 is sometimes called "raising 38 123 to the power 2", or "38 123 squared".
The square of 38 123 is 1 453 363 129 because 38 123 × 38 123 = 38 1232 = 1 453 363 129.
As a consequence, 38 123 is the square root of 1 453 363 129.
The multiples of 38 123 are all integers evenly divisible by 38 123, that is all numbers such that the remainder of the division by 38 123 is zero. There are infinitely many multiples of 38 123. The smallest multiples of 38 123 are: