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Write the expression 16x+28 as a product using the GCF as one of the factors.
16x + 28 = ◻(◻x+◻)

Write the expression $16x+28$ as a product using the GCF as one of the factors. $\newline$ $16x + 28 = \square (\square x+\square)$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. Write the expression

16x+28

as a product using the GCF as one of the factors.

\newline

16x + 28 = \square (\square x+\square)

List Factors: To find the greatest common factor (GCF) of $16$ and $28$ , we need to list the factors of each number and find the largest factor they have in common. $\newline$ Factors of $16$ : $1$ , $2$ , $4$ , $8$ , $16$ $\newline$ Factors of $28$ : $1$ , $2$ , $4$ , $28$ $2$ , $28$ $3$ , $28$ $\newline$ The GCF of $16$ and $28$ is $4$ .
Find GCF: Now that we have the GCF, we can express $16x + 28$ as a product using the GCF as one of the factors. $\newline$ We divide both terms by the GCF to find the other factor. $\newline$ $16x \div 4 = 4x$ $\newline$ $28 \div 4 = 7$
Express as Product: We can now write the expression as a product using the GCF. $\newline$ $16x + 28 = 4(4x + 7)$

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