It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 628 is not a prime number.
For example, 138 628 can be divided by 2: 138 628 / 2 = 69 314.
For 138 628 to be a prime number, it would have been required that 138 628 has only two divisors, i.e., itself and 1.
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138 628 is an even number, because it is evenly divisible by 2: 138 628 / 2 = 69 314.
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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 138 628 is about 372.328.
Thus, the square root of 138 628 is not an integer, and therefore 138 628 is not a square number.
The square of a number (here 138 628) is the result of the product of this number (138 628) by itself (i.e., 138 628 × 138 628); the square of 138 628 is sometimes called "raising 138 628 to the power 2", or "138 628 squared".
The square of 138 628 is 19 217 722 384 because 138 628 × 138 628 = 138 6282 = 19 217 722 384.
As a consequence, 138 628 is the square root of 19 217 722 384.
The multiples of 138 628 are all integers evenly divisible by 138 628, that is all numbers such that the remainder of the division by 138 628 is zero. There are infinitely many multiples of 138 628. The smallest multiples of 138 628 are: