7009is an odd number,as it is not divisible by 2
The factors for 7009 are all the numbers between -7009 and 7009 , which divide 7009 without leaving any remainder. Since 7009 divided by -7009 is an integer, -7009 is a factor of 7009 .
Since 7009 divided by -7009 is a whole number, -7009 is a factor of 7009
Since 7009 divided by -163 is a whole number, -163 is a factor of 7009
Since 7009 divided by -43 is a whole number, -43 is a factor of 7009
Since 7009 divided by -1 is a whole number, -1 is a factor of 7009
Multiples of 7009 are all integers divisible by 7009 , i.e. the remainder of the full division by 7009 is zero. There are infinite multiples of 7009. The smallest multiples of 7009 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 7009, the answer is: No, 7009 is not a prime number.
To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 7009). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 83.72 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.
More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.
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Next prime number: 7013