463is an odd number,as it is not divisible by 2
The factors for 463 are all the numbers between -463 and 463 , which divide 463 without leaving any remainder. Since 463 divided by -463 is an integer, -463 is a factor of 463 .
Since 463 divided by -463 is a whole number, -463 is a factor of 463
Since 463 divided by -1 is a whole number, -1 is a factor of 463
Multiples of 463 are all integers divisible by 463 , i.e. the remainder of the full division by 463 is zero. There are infinite multiples of 463. The smallest multiples of 463 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 463, the answer is: yes, 463 is a prime number because it only has two different divisors: 1 and itself (463).
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 463). 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 21.517 ). 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.
Previous prime number: 461
Next prime number: 467