77977is an odd number,as it is not divisible by 2
The factors for 77977 are all the numbers between -77977 and 77977 , which divide 77977 without leaving any remainder. Since 77977 divided by -77977 is an integer, -77977 is a factor of 77977 .
Since 77977 divided by -77977 is a whole number, -77977 is a factor of 77977
Since 77977 divided by -1 is a whole number, -1 is a factor of 77977
Since 77977 divided by 1 is a whole number, 1 is a factor of 77977
Multiples of 77977 are all integers divisible by 77977 , i.e. the remainder of the full division by 77977 is zero. There are infinite multiples of 77977. The smallest multiples of 77977 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 77977 since 0 × 77977 = 0
77977 : in fact, 77977 is a multiple of itself, since 77977 is divisible by 77977 (it was 77977 / 77977 = 1, so the rest of this division is zero)
155954: in fact, 155954 = 77977 × 2
233931: in fact, 233931 = 77977 × 3
311908: in fact, 311908 = 77977 × 4
389885: in fact, 389885 = 77977 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 77977, the answer is: yes, 77977 is a prime number because it only has two different divisors: 1 and itself (77977).
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 77977). 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 279.244 ). 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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