It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 648 is not a prime number.
For example, 138 648 can be divided by 2: 138 648 / 2 = 69 324.
For 138 648 to be a prime number, it would have been required that 138 648 has only two divisors, i.e., itself and 1.
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138 648 is an even number, because it is evenly divisible by 2: 138 648 / 2 = 69 324.
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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 138 648 is about 372.355.
Thus, the square root of 138 648 is not an integer, and therefore 138 648 is not a square number.
The square of a number (here 138 648) is the result of the product of this number (138 648) by itself (i.e., 138 648 × 138 648); the square of 138 648 is sometimes called "raising 138 648 to the power 2", or "138 648 squared".
The square of 138 648 is 19 223 267 904 because 138 648 × 138 648 = 138 6482 = 19 223 267 904.
As a consequence, 138 648 is the square root of 19 223 267 904.
The multiples of 138 648 are all integers evenly divisible by 138 648, that is all numbers such that the remainder of the division by 138 648 is zero. There are infinitely many multiples of 138 648. The smallest multiples of 138 648 are: