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789is an odd number,as it is not divisible by 2
The factors for 789 are all the numbers between -789 and 789 , which divide 789 without leaving any remainder. Since 789 divided by -789 is an integer, -789 is a factor of 789 .
Since 789 divided by -789 is a whole number, -789 is a factor of 789
Since 789 divided by -263 is a whole number, -263 is a factor of 789
Since 789 divided by -3 is a whole number, -3 is a factor of 789
Since 789 divided by -1 is a whole number, -1 is a factor of 789
Since 789 divided by 1 is a whole number, 1 is a factor of 789
Since 789 divided by 3 is a whole number, 3 is a factor of 789
Since 789 divided by 263 is a whole number, 263 is a factor of 789
Multiples of 789 are all integers divisible by 789 , i.e. the remainder of the full division by 789 is zero. There are infinite multiples of 789. The smallest multiples of 789 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 789 since 0 × 789 = 0
789 : in fact, 789 is a multiple of itself, since 789 is divisible by 789 (it was 789 / 789 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 789, the answer is: No, 789 is not a prime number.
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 789). 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 28.089 ). 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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