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2477is an odd number,as it is not divisible by 2
The factors for 2477 are all the numbers between -2477 and 2477 , which divide 2477 without leaving any remainder. Since 2477 divided by -2477 is an integer, -2477 is a factor of 2477 .
Since 2477 divided by -2477 is a whole number, -2477 is a factor of 2477
Since 2477 divided by -1 is a whole number, -1 is a factor of 2477
Since 2477 divided by 1 is a whole number, 1 is a factor of 2477
Multiples of 2477 are all integers divisible by 2477 , i.e. the remainder of the full division by 2477 is zero. There are infinite multiples of 2477. The smallest multiples of 2477 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2477 since 0 × 2477 = 0
2477 : in fact, 2477 is a multiple of itself, since 2477 is divisible by 2477 (it was 2477 / 2477 = 1, so the rest of this division is zero)
4954: in fact, 4954 = 2477 × 2
7431: in fact, 7431 = 2477 × 3
9908: in fact, 9908 = 2477 × 4
12385: in fact, 12385 = 2477 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2477, the answer is: yes, 2477 is a prime number because it only has two different divisors: 1 and itself (2477).
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 2477). 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 49.769 ). 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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