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

1 Answer

5 votes

Answer:

Factorization Tree.

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.

User John Munsch
by
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