How many factors of 1080 are there?

Question of The Day29-08-2022

Answer

Correct Answer : c ) 32

Explanation :

We know that,

Number of factors of a number X = (a+1)*(b+1)*(c+1)

where, X = p^a*q^b*r^c 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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