79is an odd number,as it is not divisible by 2
The factors for 79 are all the numbers between -79 and 79 , which divide 79 without leaving any remainder. Since 79 divided by -79 is an integer, -79 is a factor of 79 .
Since 79 divided by -79 is a whole number, -79 is a factor of 79
Since 79 divided by -1 is a whole number, -1 is a factor of 79
Since 79 divided by 1 is a whole number, 1 is a factor of 79
Multiples of 79 are all integers divisible by 79 , i.e. the remainder of the full division by 79 is zero. There are infinite multiples of 79. The smallest multiples of 79 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 79 since 0 × 79 = 0
79 : in fact, 79 is a multiple of itself, since 79 is divisible by 79 (it was 79 / 79 = 1, so the rest of this division is zero)
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 79, the answer is: yes, 79 is a prime number because it only has two different divisors: 1 and itself (79).
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 79). 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 8.888 ). 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: 73
Next prime number: 83