4201is an odd number,as it is not divisible by 2
The factors for 4201 are all the numbers between -4201 and 4201 , which divide 4201 without leaving any remainder. Since 4201 divided by -4201 is an integer, -4201 is a factor of 4201 .
Since 4201 divided by -4201 is a whole number, -4201 is a factor of 4201
Since 4201 divided by -1 is a whole number, -1 is a factor of 4201
Since 4201 divided by 1 is a whole number, 1 is a factor of 4201
Multiples of 4201 are all integers divisible by 4201 , i.e. the remainder of the full division by 4201 is zero. There are infinite multiples of 4201. The smallest multiples of 4201 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4201 since 0 × 4201 = 0
4201 : in fact, 4201 is a multiple of itself, since 4201 is divisible by 4201 (it was 4201 / 4201 = 1, so the rest of this division is zero)
8402: in fact, 8402 = 4201 × 2
12603: in fact, 12603 = 4201 × 3
16804: in fact, 16804 = 4201 × 4
21005: in fact, 21005 = 4201 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4201, the answer is: yes, 4201 is a prime number because it only has two different divisors: 1 and itself (4201).
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 4201). 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 64.815 ). 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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