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In addition we can say of the number 502 that it is even
502 is an even number, as it is divisible by 2 : 502/2 = 251
The factors for 502 are all the numbers between -502 and 502 , which divide 502 without leaving any remainder. Since 502 divided by -502 is an integer, -502 is a factor of 502 .
Since 502 divided by -502 is a whole number, -502 is a factor of 502
Since 502 divided by -251 is a whole number, -251 is a factor of 502
Since 502 divided by -2 is a whole number, -2 is a factor of 502
Since 502 divided by -1 is a whole number, -1 is a factor of 502
Since 502 divided by 1 is a whole number, 1 is a factor of 502
Since 502 divided by 2 is a whole number, 2 is a factor of 502
Since 502 divided by 251 is a whole number, 251 is a factor of 502
Multiples of 502 are all integers divisible by 502 , i.e. the remainder of the full division by 502 is zero. There are infinite multiples of 502. The smallest multiples of 502 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 502 since 0 × 502 = 0
502 : in fact, 502 is a multiple of itself, since 502 is divisible by 502 (it was 502 / 502 = 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 502, the answer is: No, 502 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 502). 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 22.405 ). 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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