It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 150 243 is not a prime number.
For example, 150 243 can be divided by 3: 150 243 / 3 = 50 081.
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For 150 243 to be a prime number, it would have been required that 150 243 has only two divisors, i.e., itself and 1.
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150 243 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 150 243 is about 387.612.
Thus, the square root of 150 243 is not an integer, and therefore 150 243 is not a square number.
The square of a number (here 150 243) is the result of the product of this number (150 243) by itself (i.e., 150 243 × 150 243); the square of 150 243 is sometimes called "raising 150 243 to the power 2", or "150 243 squared".
The square of 150 243 is 22 572 959 049 because 150 243 × 150 243 = 150 2432 = 22 572 959 049.
As a consequence, 150 243 is the square root of 22 572 959 049.
The multiples of 150 243 are all integers evenly divisible by 150 243, that is all numbers such that the remainder of the division by 150 243 is zero. There are infinitely many multiples of 150 243. The smallest multiples of 150 243 are: