Question

abdi created a factor rainbow for the number 59. select the three statements that are true. 59 has exactly two factors. 59 is a prime number. abdis factor rainbow is missing the factor pair 3 and 17. 59 has more than two factors. 59 is a composite number. 59 is an odd number.

Explanation:

Step1: Recall Prime/Composite Definitions

A prime number has exactly two distinct positive factors: 1 and itself. A composite number has more than two factors. An odd number is not divisible by 2.

Step2: Analyze 59's Factors

The factors of 59 are 1 and 59 (since \( 59 = 1 \times 59 \), and it is not divisible by any other integer between 2 and 58). So it has exactly two factors.

Step3: Classify 59

Since it has exactly two factors, 59 is prime (not composite). Also, 59 is odd (not divisible by 2).

Step4: Evaluate Statements

• "59 has exactly two factors": True (factors are 1, 59).
• "59 is a prime number": True (by prime definition).
• "Abdi's factor rainbow is missing the factor pair 3 and 17": False (\( 3 \times 17 = 51

eq 59 \)).

• "59 has more than two factors": False (only 1 and 59).
• "59 is a composite number": False (composite has >2 factors).
• "59 is an odd number": True (59 ÷ 2 = 29.5, not an integer).

Answer:

• 59 has exactly two factors.
• 59 is a prime number.
• 59 is an odd number.