2007is an odd number,as it is not divisible by 2
The factors for 2007 are all the numbers between -2007 and 2007 , which divide 2007 without leaving any remainder. Since 2007 divided by -2007 is an integer, -2007 is a factor of 2007 .
Since 2007 divided by -2007 is a whole number, -2007 is a factor of 2007
Since 2007 divided by -669 is a whole number, -669 is a factor of 2007
Since 2007 divided by -223 is a whole number, -223 is a factor of 2007
Since 2007 divided by -9 is a whole number, -9 is a factor of 2007
Since 2007 divided by -3 is a whole number, -3 is a factor of 2007
Since 2007 divided by -1 is a whole number, -1 is a factor of 2007
Multiples of 2007 are all integers divisible by 2007 , i.e. the remainder of the full division by 2007 is zero. There are infinite multiples of 2007. The smallest multiples of 2007 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2007, the answer is: No, 2007 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 2007). 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 44.8 ). 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: 2011