Question

what value should be put on A
So that 37A8 is divisible by 3
( please step by step explanation)​

Answer 1

Answer:

I hop I will help you.

Step-by-step explanation:

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.

vi) 438750

divisible by 2: since the number has a digit 0 at its one's place it is divisible by 2.

divisible by 3: if we add 4+3+8+7+5+0 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.

vii) 1790184

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 1+7+9+0+1+8+4 we get 30 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.

viii) 12583

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 1+2+5+8+3 we get 19 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.

ix) 1700

divisible by 2: since the number has a digit 0 at its one's place it is divisible by 2.

divisible by 3: if we add 1+7+0+0 we get 8 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.

x) 2150

divisible by 2: since the number has a digit 0 at its one's place it is divisible by 2.

divisible by 3: if we add 2+1+5+0 we get 8 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.