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1423is an odd number,as it is not divisible by 2
The factors for 1423 are all the numbers between -1423 and 1423 , which divide 1423 without leaving any remainder. Since 1423 divided by -1423 is an integer, -1423 is a factor of 1423 .
Since 1423 divided by -1423 is a whole number, -1423 is a factor of 1423
Since 1423 divided by -1 is a whole number, -1 is a factor of 1423
Since 1423 divided by 1 is a whole number, 1 is a factor of 1423
Multiples of 1423 are all integers divisible by 1423 , i.e. the remainder of the full division by 1423 is zero. There are infinite multiples of 1423. The smallest multiples of 1423 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1423 since 0 × 1423 = 0
1423 : in fact, 1423 is a multiple of itself, since 1423 is divisible by 1423 (it was 1423 / 1423 = 1, so the rest of this division is zero)
2846: in fact, 2846 = 1423 × 2
4269: in fact, 4269 = 1423 × 3
5692: in fact, 5692 = 1423 × 4
7115: in fact, 7115 = 1423 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1423, the answer is: yes, 1423 is a prime number because it only has two different divisors: 1 and itself (1423).
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 1423). 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 37.723 ). 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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