to make the number 7658 divisible by 6 then what number to be added to one's place???
Answers
Answer:
we know that a number divisible by 6 is divisible by both 2 and 3.
therefore, to check if a number is divisible by 6 we need to check if the number is divisible by 2 and 3 both.
divisible by 2: A number is divisible by 2. if it has any of the digits - 0, 2, 4, 8 or 6 in its one's place.
divisible by 3: If the sum of the digits is a multiple of 3 it is divisible by 3.
i) 297144
divisible by 2: since the number has a digit 4 at its one's place it is divisible by 2.
divisible by 3: if we add 2+9+1+4+4 we get 27 which is a multiple of 3. so, it is divisible by 3.
since the number is divisible by both 2 and 3 it is divisible by 6.
ii) 1258
divisible by 2: since the number has a digit 8 at its one's place it is divisible by 2.
divisible by 3: if we add 1+2+5+8 we get 16 which is not a multiple of 3. so, it is not divisible by 3.
since the number is not divisible by both 2 and 3 it is not divisible by 6.
iii) 4335
divisible by 2: since the number has a digit 5 at its one's place it is not divisible by 2.
divisible by 3: if we add 4+3+3+5 we get 15 which is a multiple of 3. so, it is divisible by 3.
since the number is not divisible by both 2 and 3 it is not divisible by 6.
iv) 61233
divisible by 2: since the number has a digit 3 at its one's place it is not divisible by 2.
divisible by 3: if we add 6+1+2+3+3 we get 15 which is a multiple of 3. so, it is divisible by 3.
since the number is not divisible by both 2 and 3 it is not divisible by 6.
v) 901352
divisible by 2: since the number has a digit 2 at its one's place it is divisible by 2.
divisible by 3: if we add 9+0+1+3+5+2 we get 20 which is not a multiple of 3. so, it is not divisible by 3.
since the number is not divisible by both 2 and 3 it is not divisible by 6.