2021is an odd number,as it is not divisible by 2
The factors for 2021 are all the numbers between -2021 and 2021 , which divide 2021 without leaving any remainder. Since 2021 divided by -2021 is an integer, -2021 is a factor of 2021 .
Since 2021 divided by -2021 is a whole number, -2021 is a factor of 2021
Since 2021 divided by -47 is a whole number, -47 is a factor of 2021
Since 2021 divided by -43 is a whole number, -43 is a factor of 2021
Since 2021 divided by -1 is a whole number, -1 is a factor of 2021
Multiples of 2021 are all integers divisible by 2021 , i.e. the remainder of the full division by 2021 is zero. There are infinite multiples of 2021. The smallest multiples of 2021 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2021, the answer is: No, 2021 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 2021). 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 44.956 ). 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: 2017
Next prime number: 2027