In addition we can say of the number 1948 that it is even
1948 is an even number, as it is divisible by 2 : 1948/2 = 974
The factors for 1948 are all the numbers between -1948 and 1948 , which divide 1948 without leaving any remainder. Since 1948 divided by -1948 is an integer, -1948 is a factor of 1948 .
Since 1948 divided by -1948 is a whole number, -1948 is a factor of 1948
Since 1948 divided by -974 is a whole number, -974 is a factor of 1948
Since 1948 divided by -487 is a whole number, -487 is a factor of 1948
Since 1948 divided by -4 is a whole number, -4 is a factor of 1948
Since 1948 divided by -2 is a whole number, -2 is a factor of 1948
Since 1948 divided by -1 is a whole number, -1 is a factor of 1948
Multiples of 1948 are all integers divisible by 1948 , i.e. the remainder of the full division by 1948 is zero. There are infinite multiples of 1948. The smallest multiples of 1948 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1948, the answer is: No, 1948 is not a prime number.
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 1948). 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 44.136 ). 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.
Previous prime number: 1933
Next prime number: 1949