71 is a Prime number. Any number that only has itself and one as factors is a Prime number. Therefore, since there are no factors of 71 other than one and itself it is a prime number.
A prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite. 71 is prime. 71 is a prime number because it has only two factors which are itself and one