659is an odd number,as it is not divisible by 2
The factors for 659 are all the numbers between -659 and 659 , which divide 659 without leaving any remainder. Since 659 divided by -659 is an integer, -659 is a factor of 659 .
Since 659 divided by -659 is a whole number, -659 is a factor of 659
Since 659 divided by -1 is a whole number, -1 is a factor of 659
Since 659 divided by 1 is a whole number, 1 is a factor of 659
Multiples of 659 are all integers divisible by 659 , i.e. the remainder of the full division by 659 is zero. There are infinite multiples of 659. The smallest multiples of 659 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 659 since 0 × 659 = 0
659 : in fact, 659 is a multiple of itself, since 659 is divisible by 659 (it was 659 / 659 = 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 659, the answer is: yes, 659 is a prime number because it only has two different divisors: 1 and itself (659).
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 659). 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 25.671 ). 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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