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529is an odd number,as it is not divisible by 2
The factors for 529 are all the numbers between -529 and 529 , which divide 529 without leaving any remainder. Since 529 divided by -529 is an integer, -529 is a factor of 529 .
Since 529 divided by -529 is a whole number, -529 is a factor of 529
Since 529 divided by -23 is a whole number, -23 is a factor of 529
Since 529 divided by -1 is a whole number, -1 is a factor of 529
Since 529 divided by 1 is a whole number, 1 is a factor of 529
Since 529 divided by 23 is a whole number, 23 is a factor of 529
Multiples of 529 are all integers divisible by 529 , i.e. the remainder of the full division by 529 is zero. There are infinite multiples of 529. The smallest multiples of 529 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 529 since 0 × 529 = 0
529 : in fact, 529 is a multiple of itself, since 529 is divisible by 529 (it was 529 / 529 = 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 529, the answer is: No, 529 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 529). 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 23 ). 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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