42743is an odd number,as it is not divisible by 2
The factors for 42743 are all the numbers between -42743 and 42743 , which divide 42743 without leaving any remainder. Since 42743 divided by -42743 is an integer, -42743 is a factor of 42743 .
Since 42743 divided by -42743 is a whole number, -42743 is a factor of 42743
Since 42743 divided by -1 is a whole number, -1 is a factor of 42743
Since 42743 divided by 1 is a whole number, 1 is a factor of 42743
Multiples of 42743 are all integers divisible by 42743 , i.e. the remainder of the full division by 42743 is zero. There are infinite multiples of 42743. The smallest multiples of 42743 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42743 since 0 × 42743 = 0
42743 : in fact, 42743 is a multiple of itself, since 42743 is divisible by 42743 (it was 42743 / 42743 = 1, so the rest of this division is zero)
85486: in fact, 85486 = 42743 × 2
128229: in fact, 128229 = 42743 × 3
170972: in fact, 170972 = 42743 × 4
213715: in fact, 213715 = 42743 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42743, the answer is: yes, 42743 is a prime number because it only has two different divisors: 1 and itself (42743).
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 42743). 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 206.744 ). 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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