You have to take into account that a prime number is one the is just divisible through 1 and also itself. So, let"s analyse every number.

You are watching: Of the following numbers, which one is prime: 14, 13, 21, 33

Number 14

If you division 14 through 1 you achieve 14.

If you divide 14 by 14 you attain 1.

If you division 14 by 2 you achieve 7.

If you divide 14 by 7 you attain 2.

14 is not prime because is divisible by 1, 2, 7, and 14

Number 13

If you divide 13 by 1 you obtain 13.

If you divide 13 by 13 you attain 1.

13 is a prime number due to the fact that it can"t be divided by other number, simply 1 and also itself

Number 21

If you division 21 through 1 you obtain 21.

If you divide 21 by 21 you achieve 1.

If you divide 21 through 3 you attain 7.

If you division 21 through 7 you achieve 3.

21 is not prime since is divisible by 1, 3, 7, and 21

Number 33

If you divide 33 through 1 you acquire 33.

If you division 33 by 33 you attain 1.

If you divide 33 through 3 you acquire 11.

If you divide 33 through 11 you achieve 3.

33 is no prime because is divisible by 1, 3, 11, and 33

Thus, 13 is the prime number

D.13

Step-by-step explanation:

13 is a prime number because it can not be split by any type of other number than 1 or itself.

A element number is a number i m sorry is only divisible by itself and also 1. No even numbers can be primes due to the fact that they space all divisible through 2.Therefore, 14 is no a element number. 21 ÷ 3 = 733 ÷ 3 = 11That pipeline 13. 13 is a element number.

Prime refers to numbers that cannot be divided by any kind of number however themselves and also 1. 14 have the right to be eliminated, together it is even (no primes except 2 space even) 13 has no divisors. The is prime. 21 has 4 divisors. That is not prime. 23 has no divisors. The is likewise prime.Two numbers of this list are prime; 13 and also 23.

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