Factor 16a+72 to identify the equivalent expressions. Choose 2 answers: (A) 4(4a+18) (B) 8(2a+9) (C) 2(8+36a) (D) 2(8a+72)

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms 16a and 72. To find the GCF, we list the factors of each term and find the largest factor they have in common. Factors of 16a: 1, 2, 4, 8, 16, a, 2a, 4a, 8a, 16a Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 The GCF of 16a and 72 is 8.List factors and find GCF: Factor out the GCF from the expression 16a+72. We divide each term by the GCF and write the expression as a product of the GCF and the resulting terms. 16a ÷ 8 = 2a 72 ÷ 8 = 9 So, 16a+72 factored is 8(2a+9).

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Factor $16a+72$ to identify the equivalent expressions. $\newline$ Choose $2$ answers: $\newline$ (A) $4(4a+18)$ $\newline$ (B) $8(2a+9)$ $\newline$ (C) $2(8+36a)$ $\newline$ (D) $2(8a+72)$

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Math Problems

Grade 7

Greatest common factor

Full solution

Q. Factor

16a+72

to identify the equivalent expressions.

\newline

Choose

2

answers:

\newline

(A)

4(4a+18)

\newline

(B)

8(2a+9)

\newline

(C)

2(8+36a)

\newline

(D)

2(8a+72)

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms $16a$ and $72$ . To find the GCF, we list the factors of each term and find the largest factor they have in common. Factors of $16a$ : $1$ , $2$ , $4$ , $8$ , $16$ , $a$ , $2a$ , $72$ $0$ , $72$ $1$ , $16a$ Factors of $72$ : $1$ , $2$ , $72$ $6$ , $4$ , $72$ $8$ , $8$ , $16a$ $0$ , $16a$ $1$ , $16a$ $2$ , $16a$ $3$ , $16a$ $4$ , $72$ The GCF of $16a$ and $72$ is $8$ .
List factors and find GCF: Factor out the GCF from the expression $16a+72$ . We divide each term by the GCF and write the expression as a product of the GCF and the resulting terms. $16a \div 8 = 2a$ $72 \div 8 = 9$ So, $16a+72$ factored is $8(2a+9)$ .