November 21, 2024
Explanation:
(18) 1800 = 2^3 ×3^2 ×5^2
=2×3 x (2^2×3^1×5^2)
= 6 x (2^2 ×3^1 ×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) = 3×2×3=18. Ans