Answer:
so that number becomes divisible by 3, 6 and 9.
Explanation:
In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that
, then its sum of digits is:
(Eq. 1)
We have to determine which digits corresponds to multiples of three, there are four digits:
N = 0
(
)
N = 3
(
)
N = 6
(
)
N = 9
(
)
We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:
It is quite evident that
so that number becomes divisible by 3, 6 and 9.