977is an odd number,as it is not divisible by 2
The factors for 977 are all the numbers between -977 and 977 , which divide 977 without leaving any remainder. Since 977 divided by -977 is an integer, -977 is a factor of 977 .
Since 977 divided by -977 is a whole number, -977 is a factor of 977
Since 977 divided by -1 is a whole number, -1 is a factor of 977
Multiples of 977 are all integers divisible by 977 , i.e. the remainder of the full division by 977 is zero. There are infinite multiples of 977. The smallest multiples of 977 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 977, the answer is: yes, 977 is a prime number because it only has two different divisors: 1 and itself (977).
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 977). 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 31.257 ). 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: 971
Next prime number: 983