Question

which equation shows that 6 is a factor of 18?

choose 1 answer:

(a) \\(6 = 18 \times 3\\)

(b) \\(3 = 18 \div 6\\)

(c) \\(18 = 6 \times 12\\)

(d) \\(18 = 24 - 6\\)

Explanation:

Define factor relationship

\(a\) is a factor of \(b\) if \(b \div a = c\), where \(c\) is an integer.

Evaluate given options

• (A) \(6 = 18 \times 3\) is mathematically incorrect.
• (B) \(3 = 18 \div 6\) shows that \(18\) divided by \(6\) equals a whole number \(3\).
• (C) \(18 = 6 \times 12\) is mathematically incorrect.
• (D) \(18 = 24 - 6\) shows subtraction, not divisibility.

Identify correct option

\(3 = 18 \div 6\) correctly demonstrates that \(6\) divides \(18\) evenly.

Answer:

• (A) \(6 = 18 \times 3\)
• (B) \(3 = 18 \div 6\) (Correct answer)
• (C) \(18 = 6 \times 12\)
• (D) \(18 = 24 - 6\)