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In addition we can say of the number **1802 that it is even**

1802 is an even number, as it is divisible by 2 : 1802/2 = 901

The factors for 1802 are all the numbers between -1802 and 1802 , which divide 1802 without leaving any remainder. Since 1802 divided by -1802 is an integer, -1802 is a factor of 1802 .

Since 1802 divided by -1802 is a whole number, -1802 is a factor of 1802

Since 1802 divided by -901 is a whole number, -901 is a factor of 1802

Since 1802 divided by -106 is a whole number, -106 is a factor of 1802

Since 1802 divided by -53 is a whole number, -53 is a factor of 1802

Since 1802 divided by -34 is a whole number, -34 is a factor of 1802

Since 1802 divided by -17 is a whole number, -17 is a factor of 1802

Since 1802 divided by -2 is a whole number, -2 is a factor of 1802

Since 1802 divided by -1 is a whole number, -1 is a factor of 1802

Since 1802 divided by 1 is a whole number, 1 is a factor of 1802

Since 1802 divided by 2 is a whole number, 2 is a factor of 1802

Since 1802 divided by 17 is a whole number, 17 is a factor of 1802

Since 1802 divided by 34 is a whole number, 34 is a factor of 1802

Since 1802 divided by 53 is a whole number, 53 is a factor of 1802

Since 1802 divided by 106 is a whole number, 106 is a factor of 1802

Since 1802 divided by 901 is a whole number, 901 is a factor of 1802

Multiples of 1802 are all integers divisible by 1802 , i.e. the remainder of the full division by 1802 is zero. There are infinite multiples of 1802. The smallest multiples of 1802 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1802 since 0 × 1802 = 0

1802 : in fact, 1802 is a multiple of itself, since 1802 is divisible by 1802 (it was 1802 / 1802 = 1, so the rest of this division is zero)

3604: in fact, 3604 = 1802 × 2

5406: in fact, 5406 = 1802 × 3

7208: in fact, 7208 = 1802 × 4

9010: in fact, 9010 = 1802 × 5

etc.

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

for 1802, the answer is:
**No, 1802 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 1802). 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 42.45 ). 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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Next prime number: 1811

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