# Divisors strange

Hello everyone.

I have posted here one of my observations regarding the divisors of some numbers.

I don't know if it is already a law in Mathematics or not but here I go...

I noticed that the even composite numbers which have 6 distinct divisors(including 1 and itself) ,the product of these divisors always came equal to the cube of that number.

e.g. 12=$1*2*3*4*6*12$=$12^{3}$

similar examples are 18,20,28,32,42,44..................

2nd part

I also noticed that even composite numbers with 8 distinct divisors,the product of the divisors was equal to $n^{4}$

e.g. 24=$1*2*3*4*6*8*12*24$=$24^{4}$

similar examples are: 30,40,......

Note by Siddharth Singh
5 years, 12 months ago

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$ ... $$ or $ ... $ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
\sin \theta $\sin \theta$
\boxed{123} $\boxed{123}$

Sort by:

Check out Product of Factors.

Staff - 5 years, 12 months ago

Oh! I had not read that nor did I knew.Thank you very much,now I have came to know that it already exists.

Sir,I have some more findings in probability and geometry which I am not sure that if it already exists or not. Can I post it on Brilliant?

- 5 years, 12 months ago

Sure. Do you best to provide an explanation of why the statement is true, or what you've tried to demonstrate that it is true.

Staff - 5 years, 12 months ago

If u r sure that this is always correct than congrats....proud of u!!!

- 5 years, 12 months ago