Is there an easy and systematic way to find the numbers under 100 which have the greatest number of factors? Please explain. Thanks :)

Respuesta :

Answer:

Factorization Tree.

Step-by-step explanation:

I can't show a picture, I will try my best.

To use a factor tree, you need to put a factor on top:

                                                     100

Then, you find multiplication facts of 100:

                                                       100

                                                     l          l

                                                 /     \      /   \

                                                10   10 25  4

Then, you break down, find some more multiplication facts.

                                                       100

                                                   l              l

                                                 /     \       /     \

                                              10       10  25    4

                                            /     \     /   \  /   \   /   \

                                            2     5  2   5 5   5 2 2

All of those numbers are prime.

We find matches, for example:

3 0 3.

See there is 2 3's, they are matches, then we draw a line.

When we find more matches, we multiply both numbers:

It should look similar to this:

2 * 2 * 5 * 5

--------------------

But, this is an example, it should equal 100. You have to do Prime Factorization Tree with 2 numbers.

If you want me to teach you how, please ask in the comments below. Thanks!

Best of Luck to you.

Merry Christmas.