4789is an odd number,as it is not divisible by 2
The factors for 4789 are all the numbers between -4789 and 4789 , which divide 4789 without leaving any remainder. Since 4789 divided by -4789 is an integer, -4789 is a factor of 4789 .
Since 4789 divided by -4789 is a whole number, -4789 is a factor of 4789
Since 4789 divided by -1 is a whole number, -1 is a factor of 4789
Since 4789 divided by 1 is a whole number, 1 is a factor of 4789
Multiples of 4789 are all integers divisible by 4789 , i.e. the remainder of the full division by 4789 is zero. There are infinite multiples of 4789. The smallest multiples of 4789 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4789 since 0 × 4789 = 0
4789 : in fact, 4789 is a multiple of itself, since 4789 is divisible by 4789 (it was 4789 / 4789 = 1, so the rest of this division is zero)
9578: in fact, 9578 = 4789 × 2
14367: in fact, 14367 = 4789 × 3
19156: in fact, 19156 = 4789 × 4
23945: in fact, 23945 = 4789 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4789, the answer is: yes, 4789 is a prime number because it only has two different divisors: 1 and itself (4789).
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 4789). 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 69.203 ). 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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