47123is an odd number,as it is not divisible by 2
The factors for 47123 are all the numbers between -47123 and 47123 , which divide 47123 without leaving any remainder. Since 47123 divided by -47123 is an integer, -47123 is a factor of 47123 .
Since 47123 divided by -47123 is a whole number, -47123 is a factor of 47123
Since 47123 divided by -1 is a whole number, -1 is a factor of 47123
Since 47123 divided by 1 is a whole number, 1 is a factor of 47123
Multiples of 47123 are all integers divisible by 47123 , i.e. the remainder of the full division by 47123 is zero. There are infinite multiples of 47123. The smallest multiples of 47123 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 47123 since 0 × 47123 = 0
47123 : in fact, 47123 is a multiple of itself, since 47123 is divisible by 47123 (it was 47123 / 47123 = 1, so the rest of this division is zero)
94246: in fact, 94246 = 47123 × 2
141369: in fact, 141369 = 47123 × 3
188492: in fact, 188492 = 47123 × 4
235615: in fact, 235615 = 47123 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 47123, the answer is: yes, 47123 is a prime number because it only has two different divisors: 1 and itself (47123).
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 47123). 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 217.078 ). 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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