467is an odd number,as it is not divisible by 2
The factors for 467 are all the numbers between -467 and 467 , which divide 467 without leaving any remainder. Since 467 divided by -467 is an integer, -467 is a factor of 467 .
Since 467 divided by -467 is a whole number, -467 is a factor of 467
Since 467 divided by -1 is a whole number, -1 is a factor of 467
Since 467 divided by 1 is a whole number, 1 is a factor of 467
Multiples of 467 are all integers divisible by 467 , i.e. the remainder of the full division by 467 is zero. There are infinite multiples of 467. The smallest multiples of 467 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 467 since 0 × 467 = 0
467 : in fact, 467 is a multiple of itself, since 467 is divisible by 467 (it was 467 / 467 = 1, so the rest of this division is zero)
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 467, the answer is: yes, 467 is a prime number because it only has two different divisors: 1 and itself (467).
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 467). 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 21.61 ). 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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