1097is an odd number,as it is not divisible by 2
The factors for 1097 are all the numbers between -1097 and 1097 , which divide 1097 without leaving any remainder. Since 1097 divided by -1097 is an integer, -1097 is a factor of 1097 .
Since 1097 divided by -1097 is a whole number, -1097 is a factor of 1097
Since 1097 divided by -1 is a whole number, -1 is a factor of 1097
Since 1097 divided by 1 is a whole number, 1 is a factor of 1097
Multiples of 1097 are all integers divisible by 1097 , i.e. the remainder of the full division by 1097 is zero. There are infinite multiples of 1097. The smallest multiples of 1097 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1097 since 0 × 1097 = 0
1097 : in fact, 1097 is a multiple of itself, since 1097 is divisible by 1097 (it was 1097 / 1097 = 1, so the rest of this division is zero)
2194: in fact, 2194 = 1097 × 2
3291: in fact, 3291 = 1097 × 3
4388: in fact, 4388 = 1097 × 4
5485: in fact, 5485 = 1097 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1097, the answer is: yes, 1097 is a prime number because it only has two different divisors: 1 and itself (1097).
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 1097). 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 33.121 ). 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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