Which list below only shows composite numbers?ResponsesA 18, 92, 9518, 92, 95B 2, 4, 82, 4, 8C 91, 97, 491, 97, 4D 37, 47, 67
Question
Which list below only shows composite numbers?
Responses
A
18, 92, 95
B
2, 4, 8
C
91, 97, 49
D
37, 47, 67
Solution
The list that only shows composite numbers is A: 18, 92, 95.
Here's why:
A composite number is a positive integer that has at least one positive divisor other than one or itself. In other words, a composite number is any positive integer greater than one that is not a prime number.
Let's check each option:
A: 18, 92, 95
- 18 has divisors other than 1 and itself (for example, 2, 3, 6, 9)
- 92 has divisors other than 1 and itself (for example, 2, 4, 23, 46)
- 95 has divisors other than 1 and itself (for example, 5, 19)
So, all numbers in list A are composite numbers.
B: 2, 4, 8
- 2 is a prime number, not a composite number.
C: 91, 97, 4
- 97 is a prime number, not a composite number.
D: 37, 47, 67
- All of these are prime numbers, not composite numbers.
So, the only list that contains only composite numbers is A: 18, 92, 95.
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