It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 7 009 is not a prime number.
For example, 7 009 can be divided by 43: 7 009 / 43 = 163.
For 7 009 to be a prime number, it would have been required that 7 009 has only two divisors, i.e., itself and 1.
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7 009 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 7 009 is about 83.720.
Thus, the square root of 7 009 is not an integer, and therefore 7 009 is not a square number.
The square of a number (here 7 009) is the result of the product of this number (7 009) by itself (i.e., 7 009 × 7 009); the square of 7 009 is sometimes called "raising 7 009 to the power 2", or "7 009 squared".
The square of 7 009 is 49 126 081 because 7 009 × 7 009 = 7 0092 = 49 126 081.
As a consequence, 7 009 is the square root of 49 126 081.
The multiples of 7 009 are all integers evenly divisible by 7 009, that is all numbers such that the remainder of the division by 7 009 is zero. There are infinitely many multiples of 7 009. The smallest multiples of 7 009 are: