In addition we can say of the number 242 that it is even
242 is an even number, as it is divisible by 2 : 242/2 = 121
The factors for 242 are all the numbers between -242 and 242 , which divide 242 without leaving any remainder. Since 242 divided by -242 is an integer, -242 is a factor of 242 .
Since 242 divided by -242 is a whole number, -242 is a factor of 242
Since 242 divided by -121 is a whole number, -121 is a factor of 242
Since 242 divided by -22 is a whole number, -22 is a factor of 242
Since 242 divided by -11 is a whole number, -11 is a factor of 242
Since 242 divided by -2 is a whole number, -2 is a factor of 242
Since 242 divided by -1 is a whole number, -1 is a factor of 242
Since 242 divided by 1 is a whole number, 1 is a factor of 242
Since 242 divided by 2 is a whole number, 2 is a factor of 242
Since 242 divided by 11 is a whole number, 11 is a factor of 242
Since 242 divided by 22 is a whole number, 22 is a factor of 242
Since 242 divided by 121 is a whole number, 121 is a factor of 242
Multiples of 242 are all integers divisible by 242 , i.e. the remainder of the full division by 242 is zero. There are infinite multiples of 242. The smallest multiples of 242 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 242 since 0 × 242 = 0
242 : in fact, 242 is a multiple of itself, since 242 is divisible by 242 (it was 242 / 242 = 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 242, the answer is: No, 242 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 242). 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 15.556 ). 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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