It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 267 is not a prime number.
For example, 138 267 can be divided by 3: 138 267 / 3 = 46 089.
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For 138 267 to be a prime number, it would have been required that 138 267 has only two divisors, i.e., itself and 1.
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138 267 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 138 267 is about 371.843.
Thus, the square root of 138 267 is not an integer, and therefore 138 267 is not a square number.
The square of a number (here 138 267) is the result of the product of this number (138 267) by itself (i.e., 138 267 × 138 267); the square of 138 267 is sometimes called "raising 138 267 to the power 2", or "138 267 squared".
The square of 138 267 is 19 117 763 289 because 138 267 × 138 267 = 138 2672 = 19 117 763 289.
As a consequence, 138 267 is the square root of 19 117 763 289.
The multiples of 138 267 are all integers evenly divisible by 138 267, that is all numbers such that the remainder of the division by 138 267 is zero. There are infinitely many multiples of 138 267. The smallest multiples of 138 267 are: