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3521is an odd number,as it is not divisible by 2
The factors for 3521 are all the numbers between -3521 and 3521 , which divide 3521 without leaving any remainder. Since 3521 divided by -3521 is an integer, -3521 is a factor of 3521 .
Since 3521 divided by -3521 is a whole number, -3521 is a factor of 3521
Since 3521 divided by -503 is a whole number, -503 is a factor of 3521
Since 3521 divided by -7 is a whole number, -7 is a factor of 3521
Since 3521 divided by -1 is a whole number, -1 is a factor of 3521
Since 3521 divided by 1 is a whole number, 1 is a factor of 3521
Since 3521 divided by 7 is a whole number, 7 is a factor of 3521
Since 3521 divided by 503 is a whole number, 503 is a factor of 3521
Multiples of 3521 are all integers divisible by 3521 , i.e. the remainder of the full division by 3521 is zero. There are infinite multiples of 3521. The smallest multiples of 3521 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3521 since 0 × 3521 = 0
3521 : in fact, 3521 is a multiple of itself, since 3521 is divisible by 3521 (it was 3521 / 3521 = 1, so the rest of this division is zero)
7042: in fact, 7042 = 3521 × 2
10563: in fact, 10563 = 3521 × 3
14084: in fact, 14084 = 3521 × 4
17605: in fact, 17605 = 3521 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3521, the answer is: No, 3521 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 3521). 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 59.338 ). 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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