953is an odd number,as it is not divisible by 2
The factors for 953 are all the numbers between -953 and 953 , which divide 953 without leaving any remainder. Since 953 divided by -953 is an integer, -953 is a factor of 953 .
Since 953 divided by -953 is a whole number, -953 is a factor of 953
Since 953 divided by -1 is a whole number, -1 is a factor of 953
Since 953 divided by 1 is a whole number, 1 is a factor of 953
Multiples of 953 are all integers divisible by 953 , i.e. the remainder of the full division by 953 is zero. There are infinite multiples of 953. The smallest multiples of 953 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 953 since 0 × 953 = 0
953 : in fact, 953 is a multiple of itself, since 953 is divisible by 953 (it was 953 / 953 = 1, so the rest of this division is zero)
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 953, the answer is: yes, 953 is a prime number because it only has two different divisors: 1 and itself (953).
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 953). 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 30.871 ). 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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