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Questions and Answers
What is the remainder when 45342 is divided by 9?
What is the remainder when 45342 is divided by 9?
Which of the following numbers is completely divisible by 12?
Which of the following numbers is completely divisible by 12?
What is the remainder when 5224 is divided by 9?
What is the remainder when 5224 is divided by 9?
What is the remainder when 24795 is divided by 9?
What is the remainder when 24795 is divided by 9?
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Which of the following numbers is completely divisible by 4?
Which of the following numbers is completely divisible by 4?
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Which of the following is a property of numbers divisible by 9?
Which of the following is a property of numbers divisible by 9?
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The sum of the digits of 78726 is:
The sum of the digits of 78726 is:
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Which number will leave a remainder of 4 when divided by 9?
Which number will leave a remainder of 4 when divided by 9?
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Study Notes
Divisibility Rules
- A number is divisible by 9 if the sum of its digits is divisible by 9.
- A number is divisible by 4 if its last two digits are divisible by 4.
- A number is divisible by 3 if the sum of its digits is divisible by 3.
Examples
- When 45342 is divided by 9, the remainder is 0 because the sum of its digits (4+5+3+4+2 = 18) is divisible by 9.
- The number 78276 is fully divisible by 12 because it passes the divisibility rules for 4 (last two digits 76 are divisible by 4) and 3 (sum of all digits 7+8+2+7+6 = 30 is divisible by 3).
- When 5224 is divided by 9, the remainder is 4 because the sum of its digits (5+2+2+4 = 13) leaves a remainder of 4 when divided by 9.
- When 24795 is divided by 9, the remainder is 0 because the sum of its digits (2+4+7+9+5 = 27) is divisible by 9.
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Description
Solve problems related to divisibility rules in number systems, including finding remainders and identifying complete divisors.
