1013is an odd number,as it is not divisible by 2
The factors for 1013 are all the numbers between -1013 and 1013 , which divide 1013 without leaving any remainder. Since 1013 divided by -1013 is an integer, -1013 is a factor of 1013 .
Since 1013 divided by -1013 is a whole number, -1013 is a factor of 1013
Since 1013 divided by -1 is a whole number, -1 is a factor of 1013
Multiples of 1013 are all integers divisible by 1013 , i.e. the remainder of the full division by 1013 is zero. There are infinite multiples of 1013. The smallest multiples of 1013 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1013, the answer is: yes, 1013 is a prime number because it only has two different divisors: 1 and itself (1013).
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 1013). 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 31.828 ). 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: 1019