1493is an odd number,as it is not divisible by 2
The factors for 1493 are all the numbers between -1493 and 1493 , which divide 1493 without leaving any remainder. Since 1493 divided by -1493 is an integer, -1493 is a factor of 1493 .
Since 1493 divided by -1493 is a whole number, -1493 is a factor of 1493
Since 1493 divided by -1 is a whole number, -1 is a factor of 1493
Since 1493 divided by 1 is a whole number, 1 is a factor of 1493
Multiples of 1493 are all integers divisible by 1493 , i.e. the remainder of the full division by 1493 is zero. There are infinite multiples of 1493. The smallest multiples of 1493 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1493 since 0 × 1493 = 0
1493 : in fact, 1493 is a multiple of itself, since 1493 is divisible by 1493 (it was 1493 / 1493 = 1, so the rest of this division is zero)
2986: in fact, 2986 = 1493 × 2
4479: in fact, 4479 = 1493 × 3
5972: in fact, 5972 = 1493 × 4
7465: in fact, 7465 = 1493 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1493, the answer is: yes, 1493 is a prime number because it only has two different divisors: 1 and itself (1493).
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 1493). 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 38.639 ). 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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