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Intern
Joined: 16 Jan 2004
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Folks. Not sure if this was ever posted before if u saw this [#permalink]
 30 Jan 2004, 22:09
Folks. Not sure if this was ever posted before if u saw this one.
How many positive divisors does a number M have, if M can be expressed as:
M = (p1^n1)(p2^n2)(p3^n3).....(pn^nk)
px = Prime divisor
nx = Power of prime divisor
eg M = 12 = 2^2 x 3^2
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Manager
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(n1+1)(n2+1)...(nk+1)
|{1, 2, 2^2} X { 1, 3, 3^2}| = 9
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Manager
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Bhai, lets say the factors of x=a^p * b^q *c^r then the number of divisors = (p+1) * (q+1) * (r+1). For example 500= 5^3 * 2^2 then the no of divisors will be (3+1) (2+1) = 12 , They are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250 and 500. Hope it helps.
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SVP
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Thanks rakesh1239. grrrrrrr
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Director
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Rakesh..gr8888 explanation.
Vivek.
_________________
"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"
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Manager
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Hey Vivek r u not watching cricket? whats happening with our players 
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