7121is an odd number,as it is not divisible by 2
The factors for 7121 are all the numbers between -7121 and 7121 , which divide 7121 without leaving any remainder. Since 7121 divided by -7121 is an integer, -7121 is a factor of 7121 .
Since 7121 divided by -7121 is a whole number, -7121 is a factor of 7121
Since 7121 divided by -1 is a whole number, -1 is a factor of 7121
Since 7121 divided by 1 is a whole number, 1 is a factor of 7121
Multiples of 7121 are all integers divisible by 7121 , i.e. the remainder of the full division by 7121 is zero. There are infinite multiples of 7121. The smallest multiples of 7121 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 7121 since 0 × 7121 = 0
7121 : in fact, 7121 is a multiple of itself, since 7121 is divisible by 7121 (it was 7121 / 7121 = 1, so the rest of this division is zero)
14242: in fact, 14242 = 7121 × 2
21363: in fact, 21363 = 7121 × 3
28484: in fact, 28484 = 7121 × 4
35605: in fact, 35605 = 7121 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 7121, the answer is: yes, 7121 is a prime number because it only has two different divisors: 1 and itself (7121).
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 7121). 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 84.386 ). 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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