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1237is an odd number,as it is not divisible by 2
The factors for 1237 are all the numbers between -1237 and 1237 , which divide 1237 without leaving any remainder. Since 1237 divided by -1237 is an integer, -1237 is a factor of 1237 .
Since 1237 divided by -1237 is a whole number, -1237 is a factor of 1237
Since 1237 divided by -1 is a whole number, -1 is a factor of 1237
Since 1237 divided by 1 is a whole number, 1 is a factor of 1237
Multiples of 1237 are all integers divisible by 1237 , i.e. the remainder of the full division by 1237 is zero. There are infinite multiples of 1237. The smallest multiples of 1237 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1237 since 0 × 1237 = 0
1237 : in fact, 1237 is a multiple of itself, since 1237 is divisible by 1237 (it was 1237 / 1237 = 1, so the rest of this division is zero)
2474: in fact, 2474 = 1237 × 2
3711: in fact, 3711 = 1237 × 3
4948: in fact, 4948 = 1237 × 4
6185: in fact, 6185 = 1237 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1237, the answer is: yes, 1237 is a prime number because it only has two different divisors: 1 and itself (1237).
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 1237). 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 35.171 ). 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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