Explanation:

(18) 1800 = 2^3 &times;3^2 &times;5^2

=2&times;3 x (2^2&times;3^1&times;5^2)

= 6 x (2^2 &times;3^1 &times;5^2)

Number of factors of 1800 which are also multiple of 6

= Number of factors of the highlighted part of the number

= (2 +1)(1+1)(2+1) = 3&times;2&times;3=18. Ans

IPMAT Indore 2024 - QA (SA) Q1 Explanation

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