1087is an odd number,as it is not divisible by 2
The factors for 1087 are all the numbers between -1087 and 1087 , which divide 1087 without leaving any remainder. Since 1087 divided by -1087 is an integer, -1087 is a factor of 1087 .
Since 1087 divided by -1087 is a whole number, -1087 is a factor of 1087
Since 1087 divided by -1 is a whole number, -1 is a factor of 1087
Since 1087 divided by 1 is a whole number, 1 is a factor of 1087
Multiples of 1087 are all integers divisible by 1087 , i.e. the remainder of the full division by 1087 is zero. There are infinite multiples of 1087. The smallest multiples of 1087 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1087 since 0 × 1087 = 0
1087 : in fact, 1087 is a multiple of itself, since 1087 is divisible by 1087 (it was 1087 / 1087 = 1, so the rest of this division is zero)
2174: in fact, 2174 = 1087 × 2
3261: in fact, 3261 = 1087 × 3
4348: in fact, 4348 = 1087 × 4
5435: in fact, 5435 = 1087 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1087, the answer is: yes, 1087 is a prime number because it only has two different divisors: 1 and itself (1087).
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 1087). 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 32.97 ). 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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