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#1 2010-07-01 13:41:18

lakeheadca
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Factors

Exclusive of the numbers 1 and 1176, how many factors are there for the number 1176.
a.20
b. 22
c.24
d. 26
is there any trick to solve?

 

#2 2010-07-01 16:32:59

ZHero
Real Member

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Re: Factors

In general...
If a number N has prime factorization as follows...
N=ap×bq×cr...
Then the number of distinct factors, including 1 and N is given by...
Number of Factors = (p+1)(q+1)(r+1)...

Here, 1176 = 23×31×72
∴ Number of factors = (3+1)(1+1)(2+1) = 24


If two or more thoughts intersect with each other, then there has to be a point.
 

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