72043is an odd number,as it is not divisible by 2
The factors for 72043 are all the numbers between -72043 and 72043 , which divide 72043 without leaving any remainder. Since 72043 divided by -72043 is an integer, -72043 is a factor of 72043 .
Since 72043 divided by -72043 is a whole number, -72043 is a factor of 72043
Since 72043 divided by -1 is a whole number, -1 is a factor of 72043
Since 72043 divided by 1 is a whole number, 1 is a factor of 72043
Multiples of 72043 are all integers divisible by 72043 , i.e. the remainder of the full division by 72043 is zero. There are infinite multiples of 72043. The smallest multiples of 72043 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 72043 since 0 × 72043 = 0
72043 : in fact, 72043 is a multiple of itself, since 72043 is divisible by 72043 (it was 72043 / 72043 = 1, so the rest of this division is zero)
144086: in fact, 144086 = 72043 × 2
216129: in fact, 216129 = 72043 × 3
288172: in fact, 288172 = 72043 × 4
360215: in fact, 360215 = 72043 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 72043, the answer is: yes, 72043 is a prime number because it only has two different divisors: 1 and itself (72043).
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 72043). 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 268.408 ). 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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