36 divided by 4 equals 9, how do I show my work using the factors and devisers

Question

I’m trying to help my nephew and it’s been a long time since I’ve had to do this.

Answer 1

36÷4=9

4*5+4*4

20+16

36

4*9=36

or...

 

36÷4=9

4*3+4*6

12+24

36

4*9=36

Answer 2

Hi Elizabeth from Newcomb, TN...how commendable...helping your nephew with math. Thanks for contacting Wyzant...I am here to help.

Here is how you can approach this problems.

We are going to look at each of the numbers an compare them to see if the match:

To begin with, we have the number 36. The problem tells us that the number 36 when divided by 4 equals 9. Draw 2 columns, on one side at the top put the number 36. Give a little space between the next column. 

Here is an example:    we're going to breakdown then numbers

                 36                                                  4     times    9

We know if we divide 36               Now let's look at each of these numbers

by 2 we get:                                      4 can be broken down to 2 x 2

            36 ÷ 2 = 18                          9 can be broken down to 3 x 3

Keep dividing each

answer by 2:

             18 ÷ 2 = 9

Now we can't divide

9 by 2, but divide it by 3

             9 ÷ 3 = 3

Now let's look at all the numbers 

it to get to the point where we

can't divide any more:

       2 x 2 x 3 x 3  =(Multiply them all together) = 36 

 

If we have 36...which we showed was       2 x 2 x 3 x 3

And we'll divide by 4, which is                  2 x 2

We will cancel out the things 

             that match for 36 and 4              2 x 2 x 3 x 3

                                                             2 x 2

Notice what we have left:                                    3 x 3   which is 9

Hope this helps

If you need any further assistance, contact me on Wyzant