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Distinct factors of 900?

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by kvcpk » Sun Oct 24, 2010 3:54 am
euro wrote:How many distinct factors does 900 have?


Made-up
900 = 3^2 * 5^2 * 2^2

Hence number of distinct factors = (2+1)(2+1)(2+1) = 27

Hope this helps!!

Let me know if you have troubles understading this.
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by euro » Sun Oct 24, 2010 4:06 am
What is the logic that goes into such type of problems?

For instance, How would you calculate the distinct factors of 10800 (= 2^4 x 3^3 x 5^2)?
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by shovan85 » Sun Oct 24, 2010 4:23 am
euro wrote:What is the logic that goes into such type of problems?

For instance, How would you calculate the distinct factors of 10800 (= 2^4 x 3^3 x 5^2)?
Check this post:

https://www.beatthegmat.com/factors-of-3 ... tml#309862
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by thirst4edu » Sun Oct 24, 2010 6:21 am
Ok, I have questions on this, I thought the above mentioned formula is for "Total number of factors", is it the same thing as "distinct factors"? Am I missing something?

if both mean different thing what is the formula for each?

Thanks in advance!
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by shovan85 » Sun Oct 24, 2010 6:28 am
thirst4edu wrote:Ok, I have questions on this, I thought the above mentioned formula is for "Total number of factors", is it the same thing as "distinct factors"? Am I missing something?

if both mean different thing what is the formula for each?

Thanks in advance!
The TOTAL number of factors of 36 is (1,2,3,4,6,9,12,18,36) = 9.
Tell me is 6 = 12? No right. That means all of these factors are DISTINCT.

So I think both are SAME :)
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by thirst4edu » Sun Oct 24, 2010 6:35 am
shovan85 wrote:
thirst4edu wrote:Ok, I have questions on this, I thought the above mentioned formula is for "Total number of factors", is it the same thing as "distinct factors"? Am I missing something?

if both mean different thing what is the formula for each?

Thanks in advance!
The TOTAL number of factors of 36 is 1,2,3,4,6,7,9,12,18,36.
Tell me is 9 = 12? No right. That means all of these factors are DISTINCT.

So I think both are SAME :)
I was thinking about, lets say 36 , has 3 as a factors two times, if we say distinct we only count it once. But I guess you are right, may be both mean the same when we calculate using above formula.
Thanks.
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by shovan85 » Sun Oct 24, 2010 6:50 am
thirst4edu wrote: I was thinking about, lets say 36 , has 3 as a factors two times, if we say distinct we only count it once. But I guess you are right, may be both mean the same when we calculate using above formula.
Thanks.
36 = 2^2 * 3^2
so here 2 and 3 both are multiple times.

I think what you are basically asking is
Number of Prime Factors that will be 2 (only 2 and 3)

Total or distinct is different as although 3 appears twice that makes 3 and 9 both are distinct
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