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4969is an odd number,as it is not divisible by 2
The factors for 4969 are all the numbers between -4969 and 4969 , which divide 4969 without leaving any remainder. Since 4969 divided by -4969 is an integer, -4969 is a factor of 4969 .
Since 4969 divided by -4969 is a whole number, -4969 is a factor of 4969
Since 4969 divided by -1 is a whole number, -1 is a factor of 4969
Since 4969 divided by 1 is a whole number, 1 is a factor of 4969
Multiples of 4969 are all integers divisible by 4969 , i.e. the remainder of the full division by 4969 is zero. There are infinite multiples of 4969. The smallest multiples of 4969 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4969 since 0 × 4969 = 0
4969 : in fact, 4969 is a multiple of itself, since 4969 is divisible by 4969 (it was 4969 / 4969 = 1, so the rest of this division is zero)
9938: in fact, 9938 = 4969 × 2
14907: in fact, 14907 = 4969 × 3
19876: in fact, 19876 = 4969 × 4
24845: in fact, 24845 = 4969 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4969, the answer is: yes, 4969 is a prime number because it only has two different divisors: 1 and itself (4969).
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 4969). 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 70.491 ). 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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