Which expression shows a way to factor 24 + 14? Choices: (A)12(2 + 1) (B)7(3 + 2) (C)6(4 + 2) (D)2(12 + 7)

Identify GCF: Identify the Greatest Common Factor (GCF) of 24 and 14. Calculation: Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. Factors of 14 are 1, 2, 7, 14. The GCF is 2.Factor Out GCF: Factor out the GCF from the expression 24 + 14. Calculation: 24 + 14 = 2(12 + 7).Match Factored Expression: Match the factored expression with the given choices. Calculation: The expression 2(12 + 7) matches choice (D).

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Which expression shows a way to factor $24 + 14$ ? $\newline$ Choices: $\newline$ (A) $12(2 + 1)$ $\newline$ (B) $7(3 + 2)$ $\newline$ (C) $6(4 + 2)$ $\newline$ (D) $2(12 + 7)$

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

Full solution

Q. Which expression shows a way to factor

24 + 14

\newline

Choices:

\newline

(A)

12(2 + 1)

\newline

(B)

7(3 + 2)

\newline

(C)

6(4 + 2)

\newline

(D)

2(12 + 7)

Identify GCF: Identify the Greatest Common Factor (GCF) of $24$ and $14$ . Calculation: Factors of $24$ are $1$ , $2$ , $3$ , $4$ , $6$ , $8$ , $12$ , $24$ . Factors of $14$ are $1$ , $2$ , $14$ $4$ , $14$ . The GCF is $2$ .
Factor Out GCF: Factor out the GCF from the expression $24 + 14$ . $\newline$ Calculation: $24 + 14 = 2(12 + 7)$ .
Match Factored Expression: Match the factored expression with the given choices. $\newline$ Calculation: The expression $2(12 + 7)$ matches choice (D).