1007is an odd number,as it is not divisible by 2
The factors for 1007 are all the numbers between -1007 and 1007 , which divide 1007 without leaving any remainder. Since 1007 divided by -1007 is an integer, -1007 is a factor of 1007 .
Since 1007 divided by -1007 is a whole number, -1007 is a factor of 1007
Since 1007 divided by -53 is a whole number, -53 is a factor of 1007
Since 1007 divided by -19 is a whole number, -19 is a factor of 1007
Since 1007 divided by -1 is a whole number, -1 is a factor of 1007
Multiples of 1007 are all integers divisible by 1007 , i.e. the remainder of the full division by 1007 is zero. There are infinite multiples of 1007. The smallest multiples of 1007 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1007, the answer is: No, 1007 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 1007). 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 31.733 ). 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: 1009