It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 25 003 is not a prime number.
For example, 25 003 can be divided by 11: 25 003 / 11 = 2 273.
For 25 003 to be a prime number, it would have been required that 25 003 has only two divisors, i.e., itself and 1.
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25 003 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 25 003 is about 158.123.
Thus, the square root of 25 003 is not an integer, and therefore 25 003 is not a square number.
The square of a number (here 25 003) is the result of the product of this number (25 003) by itself (i.e., 25 003 × 25 003); the square of 25 003 is sometimes called "raising 25 003 to the power 2", or "25 003 squared".
The square of 25 003 is 625 150 009 because 25 003 × 25 003 = 25 0032 = 625 150 009.
As a consequence, 25 003 is the square root of 625 150 009.
The multiples of 25 003 are all integers evenly divisible by 25 003, that is all numbers such that the remainder of the division by 25 003 is zero. There are infinitely many multiples of 25 003. The smallest multiples of 25 003 are: