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1489is an odd number,as it is not divisible by 2
The factors for 1489 are all the numbers between -1489 and 1489 , which divide 1489 without leaving any remainder. Since 1489 divided by -1489 is an integer, -1489 is a factor of 1489 .
Since 1489 divided by -1489 is a whole number, -1489 is a factor of 1489
Since 1489 divided by -1 is a whole number, -1 is a factor of 1489
Since 1489 divided by 1 is a whole number, 1 is a factor of 1489
Multiples of 1489 are all integers divisible by 1489 , i.e. the remainder of the full division by 1489 is zero. There are infinite multiples of 1489. The smallest multiples of 1489 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1489 since 0 × 1489 = 0
1489 : in fact, 1489 is a multiple of itself, since 1489 is divisible by 1489 (it was 1489 / 1489 = 1, so the rest of this division is zero)
2978: in fact, 2978 = 1489 × 2
4467: in fact, 4467 = 1489 × 3
5956: in fact, 5956 = 1489 × 4
7445: in fact, 7445 = 1489 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1489, the answer is: yes, 1489 is a prime number because it only has two different divisors: 1 and itself (1489).
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 1489). 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 38.588 ). 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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