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2014-10-12T00:24:19+05:30

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There are a total of 24 divisors of 600 , including 1 and 600.
They are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600. 
1 5 1
2014-10-12T09:14:16+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
We can do this in some other ways other than listing the all factors.

1.  First find square root (600) = 24.5     There are always as many factors less
      than square root as more than it.     The factors less than 24.5 are :

                1,2,3,4,5,6,8,10,12,15,20,24.

     there are 12 of them.   so above 24.5 ther are 12.
         so total number of factors = 24


2. 600 = 2^3 * 3^1 * 5^2

     A factor is formed by selecting one 2 or two 2s or three 2s or no 2s.  Also by      selecting no 3s or one 3.    finally,  no 5 may be chosen, 1 or two 5s may be      chosen to form a factor.

      so number ways of forming a factor = 4 * 2 * 3 = 24

                  so 24 factors.

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