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801is an odd number,as it is not divisible by 2
The factors for 801 are all the numbers between -801 and 801 , which divide 801 without leaving any remainder. Since 801 divided by -801 is an integer, -801 is a factor of 801 .
Since 801 divided by -801 is a whole number, -801 is a factor of 801
Since 801 divided by -267 is a whole number, -267 is a factor of 801
Since 801 divided by -89 is a whole number, -89 is a factor of 801
Since 801 divided by -9 is a whole number, -9 is a factor of 801
Since 801 divided by -3 is a whole number, -3 is a factor of 801
Since 801 divided by -1 is a whole number, -1 is a factor of 801
Since 801 divided by 1 is a whole number, 1 is a factor of 801
Since 801 divided by 3 is a whole number, 3 is a factor of 801
Since 801 divided by 9 is a whole number, 9 is a factor of 801
Since 801 divided by 89 is a whole number, 89 is a factor of 801
Since 801 divided by 267 is a whole number, 267 is a factor of 801
Multiples of 801 are all integers divisible by 801 , i.e. the remainder of the full division by 801 is zero. There are infinite multiples of 801. The smallest multiples of 801 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 801 since 0 × 801 = 0
801 : in fact, 801 is a multiple of itself, since 801 is divisible by 801 (it was 801 / 801 = 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 801, the answer is: No, 801 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 801). 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 28.302 ). 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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