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In addition we can say of the number 1502 that it is even
1502 is an even number, as it is divisible by 2 : 1502/2 = 751
The factors for 1502 are all the numbers between -1502 and 1502 , which divide 1502 without leaving any remainder. Since 1502 divided by -1502 is an integer, -1502 is a factor of 1502 .
Since 1502 divided by -1502 is a whole number, -1502 is a factor of 1502
Since 1502 divided by -751 is a whole number, -751 is a factor of 1502
Since 1502 divided by -2 is a whole number, -2 is a factor of 1502
Since 1502 divided by -1 is a whole number, -1 is a factor of 1502
Since 1502 divided by 1 is a whole number, 1 is a factor of 1502
Since 1502 divided by 2 is a whole number, 2 is a factor of 1502
Since 1502 divided by 751 is a whole number, 751 is a factor of 1502
Multiples of 1502 are all integers divisible by 1502 , i.e. the remainder of the full division by 1502 is zero. There are infinite multiples of 1502. The smallest multiples of 1502 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1502 since 0 × 1502 = 0
1502 : in fact, 1502 is a multiple of itself, since 1502 is divisible by 1502 (it was 1502 / 1502 = 1, so the rest of this division is zero)
3004: in fact, 3004 = 1502 × 2
4506: in fact, 4506 = 1502 × 3
6008: in fact, 6008 = 1502 × 4
7510: in fact, 7510 = 1502 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1502, the answer is: No, 1502 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 1502). 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 38.756 ). 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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