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1429is an odd number,as it is not divisible by 2
The factors for 1429 are all the numbers between -1429 and 1429 , which divide 1429 without leaving any remainder. Since 1429 divided by -1429 is an integer, -1429 is a factor of 1429 .
Since 1429 divided by -1429 is a whole number, -1429 is a factor of 1429
Since 1429 divided by -1 is a whole number, -1 is a factor of 1429
Since 1429 divided by 1 is a whole number, 1 is a factor of 1429
Multiples of 1429 are all integers divisible by 1429 , i.e. the remainder of the full division by 1429 is zero. There are infinite multiples of 1429. The smallest multiples of 1429 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1429 since 0 × 1429 = 0
1429 : in fact, 1429 is a multiple of itself, since 1429 is divisible by 1429 (it was 1429 / 1429 = 1, so the rest of this division is zero)
2858: in fact, 2858 = 1429 × 2
4287: in fact, 4287 = 1429 × 3
5716: in fact, 5716 = 1429 × 4
7145: in fact, 7145 = 1429 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1429, the answer is: yes, 1429 is a prime number because it only has two different divisors: 1 and itself (1429).
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 1429). 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 37.802 ). 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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