Question of The Day29-08-2022
How many factors of 1080 are there?
Answer
Correct Answer : c ) 32
Explanation :We know that,
Number of factors of a number X = (a+1)*(b+1)*(c+1)
where, X = pa*qb*rc is the prime factorization of X
Now, In case of 1080, let us find the prime factorization of 1080
1080 = 2*2*2*3*3*3*5 = 23*33*51
Number of factors of a number 1080 = (3+1)*(3+1)*(1+1) = 32
Hence, (c) is the correct answer.
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