142123is an odd number,as it is not divisible by 2
The factors for 142123 are all the numbers between -142123 and 142123 , which divide 142123 without leaving any remainder. Since 142123 divided by -142123 is an integer, -142123 is a factor of 142123 .
Since 142123 divided by -142123 is a whole number, -142123 is a factor of 142123
Since 142123 divided by -1 is a whole number, -1 is a factor of 142123
Since 142123 divided by 1 is a whole number, 1 is a factor of 142123
Multiples of 142123 are all integers divisible by 142123 , i.e. the remainder of the full division by 142123 is zero. There are infinite multiples of 142123. The smallest multiples of 142123 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 142123 since 0 × 142123 = 0
142123 : in fact, 142123 is a multiple of itself, since 142123 is divisible by 142123 (it was 142123 / 142123 = 1, so the rest of this division is zero)
284246: in fact, 284246 = 142123 × 2
426369: in fact, 426369 = 142123 × 3
568492: in fact, 568492 = 142123 × 4
710615: in fact, 710615 = 142123 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 142123, the answer is: yes, 142123 is a prime number because it only has two different divisors: 1 and itself (142123).
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 142123). 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 376.992 ). 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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