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479is an odd number,as it is not divisible by 2
The factors for 479 are all the numbers between -479 and 479 , which divide 479 without leaving any remainder. Since 479 divided by -479 is an integer, -479 is a factor of 479 .
Since 479 divided by -479 is a whole number, -479 is a factor of 479
Since 479 divided by -1 is a whole number, -1 is a factor of 479
Since 479 divided by 1 is a whole number, 1 is a factor of 479
Multiples of 479 are all integers divisible by 479 , i.e. the remainder of the full division by 479 is zero. There are infinite multiples of 479. The smallest multiples of 479 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 479 since 0 × 479 = 0
479 : in fact, 479 is a multiple of itself, since 479 is divisible by 479 (it was 479 / 479 = 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 479, the answer is: yes, 479 is a prime number because it only has two different divisors: 1 and itself (479).
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 479). 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 21.886 ). 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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