Question

relating factors and multiples
drag each description to the correct number.
each number will have two descriptions.
prime
has exactly 2 factors
has more than 2 factors
neither prime nor composite
composite
has less than 2 factors
1 (two descriptions)
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8 (two descriptions)
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71 (two descriptions)
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Explanation:

Step1: Analyze number 1

A prime number has exactly 2 distinct positive factors (1 and itself). A composite number has more than 2 distinct positive factors. The number 1 has only 1 positive factor (itself). So, 1 is neither prime nor composite, and it has less than 2 factors.

Step2: Analyze number 8

The factors of 8 are 1, 2, 4, 8. So, it has more than 2 factors, and thus it is a composite number.

Step3: Analyze number 71

The factors of 71 are 1 and 71 (since 71 is a prime number). So, it has exactly 2 factors, and thus it is a prime number.

Answer:

• For 1: Neither Prime Nor Composite, Has Less Than 2 Factors
• For 8: Composite, Has More Than 2 Factors
• For 71: Prime, Has Exactly 2 Factors