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**lakeheadca****Member**- Registered: 2010-01-31
- Posts: 37

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?

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**ZHero****Real Member**- Registered: 2008-06-08
- Posts: 1,889

In general...

If a number N has prime factorization as follows...

N=a[sup]p[/sup]×b[sup]q[/sup]×c[sup]r[/sup]...

Then the number of distinct factors, including 1 and N is given by...

Number of Factors = (p+1)(q+1)(r+1)...

Here, 1176 = 2[sup]3[/sup]×3[sup]1[/sup]×7[sup]2[/sup]

∴ Number of factors = (3+1)(1+1)(2+1) = 24

If two or more thoughts intersect, there has to be a point!

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