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032 - Maths Divisibility Rules

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Question:

1. (Without using a calculator or pen and paper) Is 20,100,922 divisible by 3?
A Yes
B No

Feedback:

The rule is that if the sum of the digits is divisible by 3 then so is the original number. 2+0+1+0+0+9+2+2=16 which is not divisible by 3 and so 20,100,922 is not!
Correct Answer: B
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Question:

2. (Without using a calculator or pen and paper) Is 20,090,416 divisible by 4?
A Yes
B No

Feedback:

A number is divisible by 4 if the last two digits are divisible by 4. Here, 16 is divisible by 4 and so is 20,090,416 !
Correct Answer: A
Your Answer:
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Question:

3. (Without using a calculator or pen and paper) Is 888,888,084 divisible by 8?
A Yes
B No

Feedback:

A number is divisible by 8 if its last 3 digits are divisible by 8. Here, the last 3 digits are 084 which is not divisible by 8 and hence 888,888,084 is not!
Correct Answer: B
Your Answer:
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Question:

4. (Without using a calculator or pen and paper) Is 111,111,111 divisible by 9?
A Yes
B No

Feedback:

The rule is that if the sum of digits of the number add up to a number which is divisible by 9, then the original number is also divisible by 9. (1+1+1+1+1+1+1+1+1=9 which is divisible by 9 hence 111,111,111 is too!)
Correct Answer: A
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Question:

5. (Without using a calculator or pen and paper) Is 3,020,102,030 divisible by 11?
A Yes
B No

Feedback:

A number is divisible by 11 if the difference of the sum of its digits at the odd position and sum of digits at the even position is divisible by 11. (3+2+1+2+3 = 11) - (0+0+0+0+0 = 0) = 11 which is divisible by 11 hence 3,020,102,030 is too!
Correct Answer: A
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