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4493is an odd number,as it is not divisible by 2
The factors for 4493 are all the numbers between -4493 and 4493 , which divide 4493 without leaving any remainder. Since 4493 divided by -4493 is an integer, -4493 is a factor of 4493 .
Since 4493 divided by -4493 is a whole number, -4493 is a factor of 4493
Since 4493 divided by -1 is a whole number, -1 is a factor of 4493
Since 4493 divided by 1 is a whole number, 1 is a factor of 4493
Multiples of 4493 are all integers divisible by 4493 , i.e. the remainder of the full division by 4493 is zero. There are infinite multiples of 4493. The smallest multiples of 4493 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4493 since 0 × 4493 = 0
4493 : in fact, 4493 is a multiple of itself, since 4493 is divisible by 4493 (it was 4493 / 4493 = 1, so the rest of this division is zero)
8986: in fact, 8986 = 4493 × 2
13479: in fact, 13479 = 4493 × 3
17972: in fact, 17972 = 4493 × 4
22465: in fact, 22465 = 4493 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4493, the answer is: yes, 4493 is a prime number because it only has two different divisors: 1 and itself (4493).
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 4493). 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 67.03 ). 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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