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1249is an odd number,as it is not divisible by 2
The factors for 1249 are all the numbers between -1249 and 1249 , which divide 1249 without leaving any remainder. Since 1249 divided by -1249 is an integer, -1249 is a factor of 1249 .
Since 1249 divided by -1249 is a whole number, -1249 is a factor of 1249
Since 1249 divided by -1 is a whole number, -1 is a factor of 1249
Since 1249 divided by 1 is a whole number, 1 is a factor of 1249
Multiples of 1249 are all integers divisible by 1249 , i.e. the remainder of the full division by 1249 is zero. There are infinite multiples of 1249. The smallest multiples of 1249 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1249 since 0 × 1249 = 0
1249 : in fact, 1249 is a multiple of itself, since 1249 is divisible by 1249 (it was 1249 / 1249 = 1, so the rest of this division is zero)
2498: in fact, 2498 = 1249 × 2
3747: in fact, 3747 = 1249 × 3
4996: in fact, 4996 = 1249 × 4
6245: in fact, 6245 = 1249 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1249, the answer is: yes, 1249 is a prime number because it only has two different divisors: 1 and itself (1249).
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 1249). 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 35.341 ). 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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