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In addition we can say of the number **1310 that it is even**

1310 is an even number, as it is divisible by 2 : 1310/2 = 655

The factors for 1310 are all the numbers between -1310 and 1310 , which divide 1310 without leaving any remainder. Since 1310 divided by -1310 is an integer, -1310 is a factor of 1310 .

Since 1310 divided by -1310 is a whole number, -1310 is a factor of 1310

Since 1310 divided by -655 is a whole number, -655 is a factor of 1310

Since 1310 divided by -262 is a whole number, -262 is a factor of 1310

Since 1310 divided by -131 is a whole number, -131 is a factor of 1310

Since 1310 divided by -10 is a whole number, -10 is a factor of 1310

Since 1310 divided by -5 is a whole number, -5 is a factor of 1310

Since 1310 divided by -2 is a whole number, -2 is a factor of 1310

Since 1310 divided by -1 is a whole number, -1 is a factor of 1310

Since 1310 divided by 1 is a whole number, 1 is a factor of 1310

Since 1310 divided by 2 is a whole number, 2 is a factor of 1310

Since 1310 divided by 5 is a whole number, 5 is a factor of 1310

Since 1310 divided by 10 is a whole number, 10 is a factor of 1310

Since 1310 divided by 131 is a whole number, 131 is a factor of 1310

Since 1310 divided by 262 is a whole number, 262 is a factor of 1310

Since 1310 divided by 655 is a whole number, 655 is a factor of 1310

Multiples of 1310 are all integers divisible by 1310 , i.e. the remainder of the full division by 1310 is zero. There are infinite multiples of 1310. The smallest multiples of 1310 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1310 since 0 × 1310 = 0

1310 : in fact, 1310 is a multiple of itself, since 1310 is divisible by 1310 (it was 1310 / 1310 = 1, so the rest of this division is zero)

2620: in fact, 2620 = 1310 × 2

3930: in fact, 3930 = 1310 × 3

5240: in fact, 5240 = 1310 × 4

6550: in fact, 6550 = 1310 × 5

etc.

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 1310, the answer is:
**No, 1310 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 1310). 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 36.194 ). 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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