7489is an odd number,as it is not divisible by 2
The factors for 7489 are all the numbers between -7489 and 7489 , which divide 7489 without leaving any remainder. Since 7489 divided by -7489 is an integer, -7489 is a factor of 7489 .
Since 7489 divided by -7489 is a whole number, -7489 is a factor of 7489
Since 7489 divided by -1 is a whole number, -1 is a factor of 7489
Since 7489 divided by 1 is a whole number, 1 is a factor of 7489
Multiples of 7489 are all integers divisible by 7489 , i.e. the remainder of the full division by 7489 is zero. There are infinite multiples of 7489. The smallest multiples of 7489 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 7489 since 0 × 7489 = 0
7489 : in fact, 7489 is a multiple of itself, since 7489 is divisible by 7489 (it was 7489 / 7489 = 1, so the rest of this division is zero)
14978: in fact, 14978 = 7489 × 2
22467: in fact, 22467 = 7489 × 3
29956: in fact, 29956 = 7489 × 4
37445: in fact, 37445 = 7489 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 7489, the answer is: yes, 7489 is a prime number because it only has two different divisors: 1 and itself (7489).
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 7489). 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 86.539 ). 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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