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7789is an odd number,as it is not divisible by 2
The factors for 7789 are all the numbers between -7789 and 7789 , which divide 7789 without leaving any remainder. Since 7789 divided by -7789 is an integer, -7789 is a factor of 7789 .
Since 7789 divided by -7789 is a whole number, -7789 is a factor of 7789
Since 7789 divided by -1 is a whole number, -1 is a factor of 7789
Since 7789 divided by 1 is a whole number, 1 is a factor of 7789
Multiples of 7789 are all integers divisible by 7789 , i.e. the remainder of the full division by 7789 is zero. There are infinite multiples of 7789. The smallest multiples of 7789 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 7789 since 0 × 7789 = 0
7789 : in fact, 7789 is a multiple of itself, since 7789 is divisible by 7789 (it was 7789 / 7789 = 1, so the rest of this division is zero)
15578: in fact, 15578 = 7789 × 2
23367: in fact, 23367 = 7789 × 3
31156: in fact, 31156 = 7789 × 4
38945: in fact, 38945 = 7789 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 7789, the answer is: yes, 7789 is a prime number because it only has two different divisors: 1 and itself (7789).
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 7789). 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 88.255 ). 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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