It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 145 389 is not a prime number.
For example, 145 389 can be divided by 3: 145 389 / 3 = 48 463.
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For 145 389 to be a prime number, it would have been required that 145 389 has only two divisors, i.e., itself and 1.
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145 389 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 145 389 is about 381.299.
Thus, the square root of 145 389 is not an integer, and therefore 145 389 is not a square number.
The square of a number (here 145 389) is the result of the product of this number (145 389) by itself (i.e., 145 389 × 145 389); the square of 145 389 is sometimes called "raising 145 389 to the power 2", or "145 389 squared".
The square of 145 389 is 21 137 961 321 because 145 389 × 145 389 = 145 3892 = 21 137 961 321.
As a consequence, 145 389 is the square root of 21 137 961 321.
The multiples of 145 389 are all integers evenly divisible by 145 389, that is all numbers such that the remainder of the division by 145 389 is zero. There are infinitely many multiples of 145 389. The smallest multiples of 145 389 are: