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In addition we can say of the number 1018 that it is even
1018 is an even number, as it is divisible by 2 : 1018/2 = 509
The factors for 1018 are all the numbers between -1018 and 1018 , which divide 1018 without leaving any remainder. Since 1018 divided by -1018 is an integer, -1018 is a factor of 1018 .
Since 1018 divided by -1018 is a whole number, -1018 is a factor of 1018
Since 1018 divided by -509 is a whole number, -509 is a factor of 1018
Since 1018 divided by -2 is a whole number, -2 is a factor of 1018
Since 1018 divided by -1 is a whole number, -1 is a factor of 1018
Since 1018 divided by 1 is a whole number, 1 is a factor of 1018
Since 1018 divided by 2 is a whole number, 2 is a factor of 1018
Since 1018 divided by 509 is a whole number, 509 is a factor of 1018
Multiples of 1018 are all integers divisible by 1018 , i.e. the remainder of the full division by 1018 is zero. There are infinite multiples of 1018. The smallest multiples of 1018 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1018 since 0 × 1018 = 0
1018 : in fact, 1018 is a multiple of itself, since 1018 is divisible by 1018 (it was 1018 / 1018 = 1, so the rest of this division is zero)
2036: in fact, 2036 = 1018 × 2
3054: in fact, 3054 = 1018 × 3
4072: in fact, 4072 = 1018 × 4
5090: in fact, 5090 = 1018 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1018, the answer is: No, 1018 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 1018). 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 31.906 ). 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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