8 Questions
What is the remainder when 45342 is divided by 9?
0
Which of the following numbers is completely divisible by 12?
78276
What is the remainder when 5224 is divided by 9?
4
What is the remainder when 24795 is divided by 9?
0
Which of the following numbers is completely divisible by 4?
48672
Which of the following is a property of numbers divisible by 9?
The sum of the digits must be divisible by 9
The sum of the digits of 78726 is:
30
Which number will leave a remainder of 4 when divided by 9?
5224
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.
Solve problems related to divisibility rules in number systems, including finding remainders and identifying complete divisors.
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