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49009is an odd number,as it is not divisible by 2
The factors for 49009 are all the numbers between -49009 and 49009 , which divide 49009 without leaving any remainder. Since 49009 divided by -49009 is an integer, -49009 is a factor of 49009 .
Since 49009 divided by -49009 is a whole number, -49009 is a factor of 49009
Since 49009 divided by -1 is a whole number, -1 is a factor of 49009
Since 49009 divided by 1 is a whole number, 1 is a factor of 49009
Multiples of 49009 are all integers divisible by 49009 , i.e. the remainder of the full division by 49009 is zero. There are infinite multiples of 49009. The smallest multiples of 49009 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 49009 since 0 × 49009 = 0
49009 : in fact, 49009 is a multiple of itself, since 49009 is divisible by 49009 (it was 49009 / 49009 = 1, so the rest of this division is zero)
98018: in fact, 98018 = 49009 × 2
147027: in fact, 147027 = 49009 × 3
196036: in fact, 196036 = 49009 × 4
245045: in fact, 245045 = 49009 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 49009, the answer is: yes, 49009 is a prime number because it only has two different divisors: 1 and itself (49009).
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 49009). 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 221.38 ). 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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