7001is an odd number,as it is not divisible by 2
The factors for 7001 are all the numbers between -7001 and 7001 , which divide 7001 without leaving any remainder. Since 7001 divided by -7001 is an integer, -7001 is a factor of 7001 .
Since 7001 divided by -7001 is a whole number, -7001 is a factor of 7001
Since 7001 divided by -1 is a whole number, -1 is a factor of 7001
Multiples of 7001 are all integers divisible by 7001 , i.e. the remainder of the full division by 7001 is zero. There are infinite multiples of 7001. The smallest multiples of 7001 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 7001, the answer is: yes, 7001 is a prime number because it only has two different divisors: 1 and itself (7001).
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 7001). 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 83.672 ). 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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