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1507is an odd number,as it is not divisible by 2
The factors for 1507 are all the numbers between -1507 and 1507 , which divide 1507 without leaving any remainder. Since 1507 divided by -1507 is an integer, -1507 is a factor of 1507 .
Since 1507 divided by -1507 is a whole number, -1507 is a factor of 1507
Since 1507 divided by -137 is a whole number, -137 is a factor of 1507
Since 1507 divided by -11 is a whole number, -11 is a factor of 1507
Since 1507 divided by -1 is a whole number, -1 is a factor of 1507
Since 1507 divided by 1 is a whole number, 1 is a factor of 1507
Since 1507 divided by 11 is a whole number, 11 is a factor of 1507
Since 1507 divided by 137 is a whole number, 137 is a factor of 1507
Multiples of 1507 are all integers divisible by 1507 , i.e. the remainder of the full division by 1507 is zero. There are infinite multiples of 1507. The smallest multiples of 1507 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1507 since 0 × 1507 = 0
1507 : in fact, 1507 is a multiple of itself, since 1507 is divisible by 1507 (it was 1507 / 1507 = 1, so the rest of this division is zero)
3014: in fact, 3014 = 1507 × 2
4521: in fact, 4521 = 1507 × 3
6028: in fact, 6028 = 1507 × 4
7535: in fact, 7535 = 1507 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1507, the answer is: No, 1507 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 1507). 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 38.82 ). 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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