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Select the option that does NOT belong to the same category as the others:
17, 19, 21, 23
17
19
21
23
21
Identify prime numbers vs. composite numbers: all given numbers are prime except for one which is divisible by 3 and 7.
Identify prime numbers vs. composite numbers: all given numbers are prime except for one which is divisible by 3 and 7.
Analyze the number set
Examine the numbers 17, 19, 21, and 23. Determine the properties of each value.
Apply divisibility test
17 is a prime number (only divisible by 1 and 17). 19 is a prime number. 23 is a prime number. 21 is a composite number because 3 * 7 = 21.
A: 17 is a prime number, so it follows the group pattern. B: 19 is a prime number, so it follows the group pattern. D: 23 is a prime number, so it follows the group pattern.
C is correct because 21 is the only composite number in the set, while 17, 19, and 23 are all prime numbers.
When classifying numbers, always check for prime status first, then squares/cubes, then divisibility rules.
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