Question

relating factors and multiples i - item 884222
drag each number to show whether it is a prime number or a composite number.
three of the numbers are prime, and three are composite.
85 33 26 61 41 3
prime numbers
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composite numbers
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Explanation:

Step1: Recall prime/composite definitions

A prime number has exactly 2 distinct positive divisors (1 and itself). A composite number has more than 2 distinct positive divisors.

Step2: Analyze 85

Factors of 85: \(1, 5, 17, 85\) (more than 2), so composite.

Step3: Analyze 33

Factors of 33: \(1, 3, 11, 33\) (more than 2), so composite.

Step4: Analyze 26

Factors of 26: \(1, 2, 13, 26\) (more than 2), so composite.

Step5: Analyze 61

Factors of 61: \(1, 61\) (exactly 2), so prime.

Step6: Analyze 41

Factors of 41: \(1, 41\) (exactly 2), so prime.

Step7: Analyze 3

Factors of 3: \(1, 3\) (exactly 2), so prime.

Answer:

Prime Numbers: 61, 41, 3
Composite Numbers: 85, 33, 26