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1373is an odd number,as it is not divisible by 2
The factors for 1373 are all the numbers between -1373 and 1373 , which divide 1373 without leaving any remainder. Since 1373 divided by -1373 is an integer, -1373 is a factor of 1373 .
Since 1373 divided by -1373 is a whole number, -1373 is a factor of 1373
Since 1373 divided by -1 is a whole number, -1 is a factor of 1373
Since 1373 divided by 1 is a whole number, 1 is a factor of 1373
Multiples of 1373 are all integers divisible by 1373 , i.e. the remainder of the full division by 1373 is zero. There are infinite multiples of 1373. The smallest multiples of 1373 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1373 since 0 × 1373 = 0
1373 : in fact, 1373 is a multiple of itself, since 1373 is divisible by 1373 (it was 1373 / 1373 = 1, so the rest of this division is zero)
2746: in fact, 2746 = 1373 × 2
4119: in fact, 4119 = 1373 × 3
5492: in fact, 5492 = 1373 × 4
6865: in fact, 6865 = 1373 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1373, the answer is: yes, 1373 is a prime number because it only has two different divisors: 1 and itself (1373).
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 1373). 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 37.054 ). 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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