Answer:
24
Step-by-step explanation:
Multiples of 16 are [tex]16,32,48,64,80,...[/tex]
Find product of each of the multiple of 16 until a number is obtained, the product of whose digits is a multiple of 12.
[tex]16=1(6)=6\\32=3(2)=6\\48=4(8)=32\\64=6(4)=24[/tex]
Here, 24 is a multiple of 12.
So,
24 is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12.
