It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 249 is not a prime number.
For example, 138 249 can be divided by 3: 138 249 / 3 = 46 083.
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For 138 249 to be a prime number, it would have been required that 138 249 has only two divisors, i.e., itself and 1.
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138 249 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 138 249 is about 371.819.
Thus, the square root of 138 249 is not an integer, and therefore 138 249 is not a square number.
The square of a number (here 138 249) is the result of the product of this number (138 249) by itself (i.e., 138 249 × 138 249); the square of 138 249 is sometimes called "raising 138 249 to the power 2", or "138 249 squared".
The square of 138 249 is 19 112 786 001 because 138 249 × 138 249 = 138 2492 = 19 112 786 001.
As a consequence, 138 249 is the square root of 19 112 786 001.
The multiples of 138 249 are all integers evenly divisible by 138 249, that is all numbers such that the remainder of the division by 138 249 is zero. There are infinitely many multiples of 138 249. The smallest multiples of 138 249 are: