What is the smallest positive integer which is a multiple of 3 and the product of all of whose digits is 2016?

Question

Below shows the first 5 positive integers formed by using the four mathematical operators (+ - * /) only on the digit 4 four times.

1 = 44 / 44
2 = 4*4 / (4+4)
3 = (4+4+4) / 4
4 = 4 + (4*(4-4))
5 = (4+(4*4)) / 4

What is the smallest positive integer that cannot be represented using these conditions?

Answer 1

ans:672183
integer which is a multiple of 3,so 2016 also multiple of 3
2016/3=672->6*7*2=84
now we have a 84 ,we have to achieve 2016 so 84 *24=2016
we got 24 from 8*3=24

so 6*7*2*1*8*3=2016,it also multiple of 3

Answer 2

ANSWER: 6678
6678 is the smallest positive integer which is a multiple of 3 and the product of all of whose digits is 2016
6678 IS MULTIPLE OF 3 =6678=3 X 2226
the product of all of whose digits is 2016 = 6 X 6 X 7 X 8 =2016