It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 135 231 is not a prime number.
For example, 135 231 can be divided by 3: 135 231 / 3 = 45 077.
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For 135 231 to be a prime number, it would have been required that 135 231 has only two divisors, i.e., itself and 1.
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135 231 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 135 231 is about 367.738.
Thus, the square root of 135 231 is not an integer, and therefore 135 231 is not a square number.
The square of a number (here 135 231) is the result of the product of this number (135 231) by itself (i.e., 135 231 × 135 231); the square of 135 231 is sometimes called "raising 135 231 to the power 2", or "135 231 squared".
The square of 135 231 is 18 287 423 361 because 135 231 × 135 231 = 135 2312 = 18 287 423 361.
As a consequence, 135 231 is the square root of 18 287 423 361.
The multiples of 135 231 are all integers evenly divisible by 135 231, that is all numbers such that the remainder of the division by 135 231 is zero. There are infinitely many multiples of 135 231. The smallest multiples of 135 231 are: