47is an odd number,as it is not divisible by 2
The factors for 47 are all the numbers between -47 and 47 , which divide 47 without leaving any remainder. Since 47 divided by -47 is an integer, -47 is a factor of 47 .
Since 47 divided by -47 is a whole number, -47 is a factor of 47
Since 47 divided by -1 is a whole number, -1 is a factor of 47
Multiples of 47 are all integers divisible by 47 , i.e. the remainder of the full division by 47 is zero. There are infinite multiples of 47. The smallest multiples of 47 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 47, the answer is: yes, 47 is a prime number because it only has two different divisors: 1 and itself (47).
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 47). 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 6.856 ). 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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Next prime number: 53