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# What is the product of the positive divisors of 7! (factorial) ?

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What is the product of the positive divisors of 7! (factorial) ?

Jul 15, 2023

#1
+1

7!==5040=(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040)>>Total = 60 divisors of 7!

Their product==1.182813012  x  10^111

Jul 15, 2023
#3
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The product is 34.

GA

Guest Jul 16, 2023
#4
+118629
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1*2*3*4*5*6*7   *8*10*12*17   * 15*18*  etc

Guests answer sounds better than Ginger's

Jul 17, 2023
#5
+2487
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For the record, Post #3, signed by GA, is not by the real GA.

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

Hi Melody,

This imposter, who either escaped from a loony bin, or a Scooby Doo cartoon, or both, is the forum’s original WAT (Wrong Answer Troll).

Two years ago, in this post https://web2.0calc.com/questions/i-know-this-is-kind-of-easy-but-i-m-stuck, I made the first of several comments about him and gave him the name “WAT”.   I concluded that post with these comments:

One open question is how he will react to this post, assuming he sees it. There is always a reaction; it’s not always obvious.

Within a few months his reaction became clear: He creates vulgar and crude social troll posts and signs my initials.  Here’s a link to one of them:  https://web2.0calc.com/questions/help-please_9275. The relevant posts are invisible to the public, but you can see them, of course. This is just one of many such posts. Here are comments I made about some of them.  https://web2.0calc.com/questions/hmmt-november-2021-problem-6-general-round#r4

Lately, in the past week or so, WAT has signed my initials to some of his single-line BS math answer posts, and several social posts, some written in bombastic prose, one of which is quite funny.  I can deal with this “identity theft;” it’s worth the annoyance and aggravation to communicate with him –at least for now.

I post disclaimers mostly as a formality, and mainly for those who are unfamiliar with my math and social postings. I estimated that most of the long-time members and guests would recognize my style enough to know these posts are not mine, such as Ron did on this post. But because I’ve used my initials when posting as a both guest and member they have become iconic. So when most anyone who sees them on a post, GingerAle is brought to mind without regard to what is posted. Such was the case for the post above.

It’s worth noting that if I made an anonymous post within the range of my normal posting style, you’d instantly recognize me. Remember this:https://web2.0calc.com/questions/math_42782#r12  Here, you recognized me nearly instantly even though I’d made only a few prior posts. But it often doesn’t work the other way around: a single line post with an absurd answer (a troll post) in a style I’ve never used is instantly assigned to me because my initials are appended to it.

...This could be an interesting “brand” recognition psychology study.

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Guest poster #1 is Mr. BB.  He often answers such questions with his computer.

This question is ideally suited for a computer, and is very difficult to solve without one.

The divisor counts and the product of the divisors are correct.  (It’s a little more than (34)).

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

GA

--. .-

GingerAle  Jul 17, 2023
edited by Guest  Jul 17, 2023
#6
+118629
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Ok That is more your style Ginger.

Why don't you just log on when you post then there would be no (or less) confusion?

Melody  Jul 17, 2023
#7
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If I log on the Martians might track me using the session cookie.

I think the Martians are the ones who helped WAT escape from the loony bin.

GA

--. .-

Guest Jul 18, 2023
#8
+118629
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ok, we wouldn't want the Marians to get you.              (that is you disguised as  CPhills )

Melody  Jul 19, 2023
#9
+1

Cool ...

CPhill’s last post is almost a year old. I’m fairly sure I know why he left...

I wish the Martians took CPhill; then we could trade WAT for him.

Although, after going to the trouble of dumping WAT on this forum, I suppose they don’t want him back...

GA

--. .-

Guest Jul 19, 2023