Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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) $2(8a+72)$

View step-by-step help

View step-by-step help

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 $8(2a+9)$ .

More problems from Greatest common factor

Question

The Huffman Corporation would like to donate

15

20

printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The Huffman Corporation can donate to?

\newline

\_\_\_\_

Posted 2 months ago

Question

What is the greatest common factor of

2

14

\newline

Posted 2 months ago

Question

What is the least common multiple of

6

12

\newline

Posted 2 months ago

Question

Which numbers are factors of

20

? Select all that apply.

\newline

17

\newline

5

\newline

9

\newline

7

Posted 25 days ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmas lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 2 months ago

Question

What is the greatest common factor of

35 y^{4}, 14 y^{4}

63 y^{4}

Posted 4 months ago

Question

What is the greatest common factor of

60 \mathrm{w}, 36 w^{2}

24 w^{4}

Posted 1 month ago

Question

Find the greatest common factor of

75

8

21

Posted 4 months ago

Question

Find the greatest common factor of

110

40

120

Posted 4 months ago

Question

What is the greatest common factor of

6 a, 8 a^{2}

14

Posted 4 months ago