169is an odd number,as it is not divisible by 2
The factors for 169 are all the numbers between -169 and 169 , which divide 169 without leaving any remainder. Since 169 divided by -169 is an integer, -169 is a factor of 169 .
Since 169 divided by -169 is a whole number, -169 is a factor of 169
Since 169 divided by -13 is a whole number, -13 is a factor of 169
Since 169 divided by -1 is a whole number, -1 is a factor of 169
Since 169 divided by 1 is a whole number, 1 is a factor of 169
Since 169 divided by 13 is a whole number, 13 is a factor of 169
Multiples of 169 are all integers divisible by 169 , i.e. the remainder of the full division by 169 is zero. There are infinite multiples of 169. The smallest multiples of 169 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 169 since 0 × 169 = 0
169 : in fact, 169 is a multiple of itself, since 169 is divisible by 169 (it was 169 / 169 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 169, the answer is: No, 169 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 169). 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 13 ). 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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