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42719is an odd number,as it is not divisible by 2
The factors for 42719 are all the numbers between -42719 and 42719 , which divide 42719 without leaving any remainder. Since 42719 divided by -42719 is an integer, -42719 is a factor of 42719 .
Since 42719 divided by -42719 is a whole number, -42719 is a factor of 42719
Since 42719 divided by -1 is a whole number, -1 is a factor of 42719
Since 42719 divided by 1 is a whole number, 1 is a factor of 42719
Multiples of 42719 are all integers divisible by 42719 , i.e. the remainder of the full division by 42719 is zero. There are infinite multiples of 42719. The smallest multiples of 42719 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42719 since 0 × 42719 = 0
42719 : in fact, 42719 is a multiple of itself, since 42719 is divisible by 42719 (it was 42719 / 42719 = 1, so the rest of this division is zero)
85438: in fact, 85438 = 42719 × 2
128157: in fact, 128157 = 42719 × 3
170876: in fact, 170876 = 42719 × 4
213595: in fact, 213595 = 42719 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42719, the answer is: yes, 42719 is a prime number because it only has two different divisors: 1 and itself (42719).
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 42719). 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 206.686 ). 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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