It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 948 is not a prime number.
For example, 138 948 can be divided by 2: 138 948 / 2 = 69 474.
For 138 948 to be a prime number, it would have been required that 138 948 has only two divisors, i.e., itself and 1.
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138 948 is an even number, because it is evenly divisible by 2: 138 948 / 2 = 69 474.
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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 138 948 is about 372.757.
Thus, the square root of 138 948 is not an integer, and therefore 138 948 is not a square number.
The square of a number (here 138 948) is the result of the product of this number (138 948) by itself (i.e., 138 948 × 138 948); the square of 138 948 is sometimes called "raising 138 948 to the power 2", or "138 948 squared".
The square of 138 948 is 19 306 546 704 because 138 948 × 138 948 = 138 9482 = 19 306 546 704.
As a consequence, 138 948 is the square root of 19 306 546 704.
The multiples of 138 948 are all integers evenly divisible by 138 948, that is all numbers such that the remainder of the division by 138 948 is zero. There are infinitely many multiples of 138 948. The smallest multiples of 138 948 are: