Answer:
80
Step-by-step explanation:
We have the number:
341,4x7
And we want this number to be divisible by 3.
A number is divisible by 3 if the sum of all it's digits is also divisible by 3, then:
3 + 4 + 1 + 4 + x + 7 = 19 + x
Then 19 + x needs to be divisible by 3.
We know that the multiples of 3 (near these values) are:
3*6 = 18
3*7 = 21
3*8 = 24
3*9 = 27
Then if we take x = 2, we have:
19 + x = 19 + 2 = 21
Then:
341,427 is divisible by 3.
if we take x = 5, then:
19 + x = 19 + 5 = 24
Then:
341,457 is divisible by 3.
if we take x = 8, then:
19 + x = 19 + 8 = 27
then:
341,487 is divisible by 3.
Then the values of x such that the number 341,4x7 is divisible by 3, are:
2, 5, and 8.
The product of these numbers is:
2*5*8 = 10* = 80
