4721is an odd number,as it is not divisible by 2
The factors for 4721 are all the numbers between -4721 and 4721 , which divide 4721 without leaving any remainder. Since 4721 divided by -4721 is an integer, -4721 is a factor of 4721 .
Since 4721 divided by -4721 is a whole number, -4721 is a factor of 4721
Since 4721 divided by -1 is a whole number, -1 is a factor of 4721
Since 4721 divided by 1 is a whole number, 1 is a factor of 4721
Multiples of 4721 are all integers divisible by 4721 , i.e. the remainder of the full division by 4721 is zero. There are infinite multiples of 4721. The smallest multiples of 4721 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4721 since 0 × 4721 = 0
4721 : in fact, 4721 is a multiple of itself, since 4721 is divisible by 4721 (it was 4721 / 4721 = 1, so the rest of this division is zero)
9442: in fact, 9442 = 4721 × 2
14163: in fact, 14163 = 4721 × 3
18884: in fact, 18884 = 4721 × 4
23605: in fact, 23605 = 4721 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4721, the answer is: yes, 4721 is a prime number because it only has two different divisors: 1 and itself (4721).
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 4721). 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 68.71 ). 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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