298,671 views
40 votes
40 votes
Which statement is true? O A. The number 23 is prime, but 36 is composite. B. The number 33 is prime, but 42 is composite. OC. The number 21 is prime, but 25 is composite. D. The number 27 is prime, but 39 is composite.​

User Yasuyuki
by
2.9k points

2 Answers

18 votes
18 votes

23 is indeed prime, and 36 is indeed composite.

33 is composite, and 42 is indeed composite.

21 is composite, and 25 is composite as well

27 is not prime, and 39 is composite.

Primes have only 2 factors: 1 and themselves.

And 33, 21 and 27 definitely have more than 2 factors. Hope this helps!

~Just a joyful teen


GraceRosalia

User David Archibald
by
3.2k points
26 votes
26 votes

Answer: A. The number 23 is prime, but 36 is composite.

=====================================================

Step-by-step explanation:

Let's go through the possible answer choices

  • A) This is true because 23 only has the factors 1 and 23. So that's why 23 is prime. We can say 36 is composite since 2 is a factor, ie 36 = 2*18.
  • B) This is false because 33 is not prime. Note how 33 = 3*11, showing that 3 is a factor of 33.
  • C) Similar to B, the statement "21 is prime" is false. Note how 21 = 3*7.
  • D) Like the other false statements, 27 is not prime because 27 = 3*9.

User Apaatsio
by
3.5k points