The result of a multiplication is called a product.

For example, when we multiply the numbers 2 and 3 , the result is 6. We say that the number 6 is the product of 2 and 3. The numbers 2 and 3 are called factors.

In general, a product is a result we get when we multiply two or more factors.

FLAG

Identify the product and the factors of the equation 42 = 2 \times 3 \times 7.

EXPLANATION

The result of a multiplication problem is called the product, while the numbers being multiplied are called the factors.

In this equation,

  • 42 is the result (the product), and

  • 2, 3, and 7 are the numbers being multiplied (the factors).

Therefore, "the product is 42, while 2, 3, and 7 are the factors."

FLAG

Identify the product and the factors of the equation $7\times 11 = 77.$

a
The factor is $7,$ while $77$ and $11$ are the products.
b
The product is $77,$ while $7$ and $11$ are the factors.
c
The product is $11,$ while $7$ and $77$ are the factors.
d
The product is $7,$ while $77$ and $11$ are the factors.
e
The factor is $77,$ while $7$ and $11$ are the products.

Identify the product and the factors of the equation $36 = 2\times 3\times 6.$

a
The factor is $36,$ while $2, 3,$ and $6$ are the products.
b
The products are $36$ and $6,$ while $2$ and $3$ are the factors.
c
The factors are $36$ and $2,$ while $3$ and $6$ are the products.
d
The products are $36$ and $2,$ while $3$ and $6$ are the factors.
e
The product is $36,$ while $2, 3,$ and $6$ are the factors.

What factor is represented by the circle in the following equation?

\bigcirc \times 7=28

EXPLANATION

We know that {\color{blue}{4}}\times 7 =28.

Therefore, the missing factor is {\color{blue}{4}}.

FLAG

What factor is represented by the triangle in the following equation?

\[ 10 \times \triangle=30 \]

a
$9$
b
$30$
c
$3$
d
$10$
e
$6$

What factor is represented by the circle in the following equation?

\[ \bigcirc \times 8=48 \]

a
$8$
b
$5$
c
$6$
d
$4$
e
$7$

What factor is represented by the empty box in the following equation? 24 = 2 \times 3 \times {\color{black} \fbox{[math]\phantom{A}[/math]}\,}

EXPLANATION

We know that 2 \times 3 = 6. Therefore, our equation can be simplified as 24 = 6 \times { \fbox{[math]\phantom{A}[/math]}\,}.

Furthermore, we know that 24 = 6 \times {\color{blue}{4}}.

Therefore, the missing factor is {\color{blue}{4}}.

FLAG

What factor is represented by the empty box in the following equation? \[ 36 = 3 \times 4\times { \fbox{$\phantom{A}$}\,} \]

a
$6$
b
$3$
c
$9$
d
$7$
e
$4$

The number $24$ can be expressed as a product of factors as follows:

$\qquad$ $24 = 6 \times \square$

$\qquad$ $24= 4\times 3 \times \triangle$

Find the value of $\square+\triangle.$

a
$8$
b
$6$
c
$4$
d
$2$
e
$9$
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