In addition we can say of the number 46 that it is even
46 is an even number, as it is divisible by 2 : 46/2 = 23
The factors for 46 are all the numbers between -46 and 46 , which divide 46 without leaving any remainder. Since 46 divided by -46 is an integer, -46 is a factor of 46 .
Since 46 divided by -46 is a whole number, -46 is a factor of 46
Since 46 divided by -23 is a whole number, -23 is a factor of 46
Since 46 divided by -2 is a whole number, -2 is a factor of 46
Since 46 divided by -1 is a whole number, -1 is a factor of 46
Since 46 divided by 1 is a whole number, 1 is a factor of 46
Since 46 divided by 2 is a whole number, 2 is a factor of 46
Since 46 divided by 23 is a whole number, 23 is a factor of 46
Multiples of 46 are all integers divisible by 46 , i.e. the remainder of the full division by 46 is zero. There are infinite multiples of 46. The smallest multiples of 46 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 46 since 0 × 46 = 0
46 : in fact, 46 is a multiple of itself, since 46 is divisible by 46 (it was 46 / 46 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 46, the answer is: No, 46 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 46). 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 6.782 ). 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: 43
Next prime number: 47