100043is an odd number,as it is not divisible by 2
The factors for 100043 are all the numbers between -100043 and 100043 , which divide 100043 without leaving any remainder. Since 100043 divided by -100043 is an integer, -100043 is a factor of 100043 .
Since 100043 divided by -100043 is a whole number, -100043 is a factor of 100043
Since 100043 divided by -1 is a whole number, -1 is a factor of 100043
Since 100043 divided by 1 is a whole number, 1 is a factor of 100043
Multiples of 100043 are all integers divisible by 100043 , i.e. the remainder of the full division by 100043 is zero. There are infinite multiples of 100043. The smallest multiples of 100043 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 100043 since 0 × 100043 = 0
100043 : in fact, 100043 is a multiple of itself, since 100043 is divisible by 100043 (it was 100043 / 100043 = 1, so the rest of this division is zero)
200086: in fact, 200086 = 100043 × 2
300129: in fact, 300129 = 100043 × 3
400172: in fact, 400172 = 100043 × 4
500215: in fact, 500215 = 100043 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 100043, the answer is: yes, 100043 is a prime number because it only has two different divisors: 1 and itself (100043).
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 100043). 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 316.296 ). 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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