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How many factors does 1155 have that are divisible by 3?

Answer»

Solution :
`:.`In order to be a factor of 1155 divisible by 3, we have to choose one or TWO of 5,7,11 along with 3 or 3 ALONE.
`:." The NUMBER of ways." = ""^3C_1+ ""^3C_2 + ""^3C_0 =2^3-1 =7`
` :.' The number of FACTORS is 7 excluding 1155 itself.


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