It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 30 006 is not a prime number.
For example, 30 006 can be divided by 2: 30 006 / 2 = 15 003.
For 30 006 to be a prime number, it would have been required that 30 006 has only two divisors, i.e., itself and 1.
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30 006 is an even number, because it is evenly divisible by 2: 30 006 / 2 = 15 003.
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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 30 006 is about 173.222.
Thus, the square root of 30 006 is not an integer, and therefore 30 006 is not a square number.
The square of a number (here 30 006) is the result of the product of this number (30 006) by itself (i.e., 30 006 × 30 006); the square of 30 006 is sometimes called "raising 30 006 to the power 2", or "30 006 squared".
The square of 30 006 is 900 360 036 because 30 006 × 30 006 = 30 0062 = 900 360 036.
As a consequence, 30 006 is the square root of 900 360 036.
The multiples of 30 006 are all integers evenly divisible by 30 006, that is all numbers such that the remainder of the division by 30 006 is zero. There are infinitely many multiples of 30 006. The smallest multiples of 30 006 are: