In addition we can say of the number 214 that it is even
214 is an even number, as it is divisible by 2 : 214/2 = 107
The factors for 214 are all the numbers between -214 and 214 , which divide 214 without leaving any remainder. Since 214 divided by -214 is an integer, -214 is a factor of 214 .
Since 214 divided by -214 is a whole number, -214 is a factor of 214
Since 214 divided by -107 is a whole number, -107 is a factor of 214
Since 214 divided by -2 is a whole number, -2 is a factor of 214
Since 214 divided by -1 is a whole number, -1 is a factor of 214
Multiples of 214 are all integers divisible by 214 , i.e. the remainder of the full division by 214 is zero. There are infinite multiples of 214. The smallest multiples of 214 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 214, the answer is: No, 214 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 214). 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 14.629 ). 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: 211
Next prime number: 223