It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 828 is not a prime number.
For example, 138 828 can be divided by 2: 138 828 / 2 = 69 414.
For 138 828 to be a prime number, it would have been required that 138 828 has only two divisors, i.e., itself and 1.
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138 828 is an even number, because it is evenly divisible by 2: 138 828 / 2 = 69 414.
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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 138 828 is about 372.596.
Thus, the square root of 138 828 is not an integer, and therefore 138 828 is not a square number.
The square of a number (here 138 828) is the result of the product of this number (138 828) by itself (i.e., 138 828 × 138 828); the square of 138 828 is sometimes called "raising 138 828 to the power 2", or "138 828 squared".
The square of 138 828 is 19 273 213 584 because 138 828 × 138 828 = 138 8282 = 19 273 213 584.
As a consequence, 138 828 is the square root of 19 273 213 584.
The multiples of 138 828 are all integers evenly divisible by 138 828, that is all numbers such that the remainder of the division by 138 828 is zero. There are infinitely many multiples of 138 828. The smallest multiples of 138 828 are: