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493is an odd number,as it is not divisible by 2
The factors for 493 are all the numbers between -493 and 493 , which divide 493 without leaving any remainder. Since 493 divided by -493 is an integer, -493 is a factor of 493 .
Since 493 divided by -493 is a whole number, -493 is a factor of 493
Since 493 divided by -29 is a whole number, -29 is a factor of 493
Since 493 divided by -17 is a whole number, -17 is a factor of 493
Since 493 divided by -1 is a whole number, -1 is a factor of 493
Since 493 divided by 1 is a whole number, 1 is a factor of 493
Since 493 divided by 17 is a whole number, 17 is a factor of 493
Since 493 divided by 29 is a whole number, 29 is a factor of 493
Multiples of 493 are all integers divisible by 493 , i.e. the remainder of the full division by 493 is zero. There are infinite multiples of 493. The smallest multiples of 493 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 493 since 0 × 493 = 0
493 : in fact, 493 is a multiple of itself, since 493 is divisible by 493 (it was 493 / 493 = 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 493, the answer is: No, 493 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 493). 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 22.204 ). 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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