Which expression shows a way to factor 20 + 24? Choices: (A)4(5 + 6) (B)2(10 + 14) (C)2(10 + 11) (D)4(5 + 7)

Identify GCF: Step 1: Identify the Greatest Common Factor (GCF) of 20 and 24. Calculation: Factors of 20 are 1, 2, 4, 5, 10, 20. Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The highest common factor is 4.Factor Out GCF: Step 2: Factor out the GCF from the sum 20 + 24. Calculation: 20 + 24 = 4(5) + 4(6) = 4(5 + 6).Match Factored Expression: Step 3: Match the factored expression with the given choices. Calculation: The expression 4(5 + 6) matches choice (A).

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Which expression shows a way to factor $20 + 24$ ? $\newline$ Choices: $\newline$ (A) $4(5 + 6)$ $\newline$ (B) $2(10 + 14)$ $\newline$ (C) $2(10 + 11)$ $\newline$ (D) $4(5 + 7)$

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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

20 + 24

\newline

Choices:

\newline

(A)

4(5 + 6)

\newline

(B)

2(10 + 14)

\newline

(C)

2(10 + 11)

\newline

(D)

4(5 + 7)

Identify GCF: Step $1$ : Identify the Greatest Common Factor (GCF) of $20$ and $24$ . Calculation: Factors of $20$ are $1$ , $2$ , $4$ , $5$ , $10$ , $20$ . Factors of $24$ are $1$ , $2$ , $24$ $2$ , $4$ , $24$ $4$ , $24$ $5$ , $24$ $6$ , $24$ . The highest common factor is $4$ .
Factor Out GCF: Step $2$ : Factor out the GCF from the sum $20 + 24$ . Calculation: $20 + 24 = 4(5) + 4(6) = 4(5 + 6)$ .
Match Factored Expression: Step $3$ : Match the factored expression with the given choices. Calculation: The expression $4(5 + 6)$ matches choice (A).