Question 42386
<pre><font size = 5><b>which number is a factor of 20? 

A) 1

B) 12

C) 40

D) 60

You must learn that the words

"IS A FACTOR OF"

are exactly equivalent to the words

"WILL DIVIDE EVENLY INTO WITHOUT
LEAVING A REMAINDER (OR A REMAINDER
OF 0)."

So pretend the problem were stated this way:

which number WILL DIVIDE EVENLY INTO 20 WITHOUT 
LEAVING A REMAINDER (OTHER THAN 0)? 

A) 1

B) 12

C) 40

D) 60

Let's see. We'll start with the last one.

Try (D).  WILL 60 DIVIDE EVENLY INTO 20 WITHOUT
LEAVING A REMAINDER OTHER THAN 0? Let's see:

  <u>  0</u>
60)20
   <u> 0</u>
   20

No that leaves a remaider of 20

Try (C).  WILL 40 DIVIDE EVENLY INTO 20 WITHOUT
LEAVING A REMAINDER? Let's see:

  <u>  0</u>
40)20
   <u> 0</u>
   20

No that also leaves a remaider of 20
   
Try (B).  WILL 12 DIVIDE EVENLY INTO 20 WITHOUT
LEAVING A REMAINDER? Let's see:

  <u>  1</u>
12)20
   <u>12</u>
    8

No that leaves a remaider of 8 

Try (A).  WILL 1 DIVIDE EVENLY INTO 20 WITHOUT
LEAVING A REMAINDER OTHER THAN 0? Let's see:

 <u> 20</u>
1)20
  <u>2</u>
   0
   <u>0</u>
   0

YUP, that only leaves a remainder of 0,
so that's the answer.

Edwin
AnlytcPhil@aol.com</pre>