Divisibility Rule for 9 Explained
To find the remainder when a number is divided by 9, we can use the divisibility rule of 9. This rule states that the remainder of a number when divided by 9 is the same as the remainder of the sum of its digits when divided by 9.
Calculating the Remainder
The number given is 987654321.
- First, find the sum of the digits of the number:
Sum = 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
Sum = 45
- Next, find the remainder when this sum (45) is divided by 9.
We perform the division: $45 \div 9$
Since $45 = 9 \times 5$, the remainder is 0.
Therefore, the remainder when 987654321 is divided by 9 is 0.
Similar Questions
- Which number is NOT a multiple of 3?
- What is the remainder when 987654321 is divided by 9?
Important Questions from Divisibility and Remainder
If a five digit number 247xy is divisible by 3, 7 and 11, then what is the value of (2y - 8x)?
If the seven-digit number 94x29y6 is divisible by 72, then what is the value of (2x + 3y) for x ≠ y ?
Find the greatest value of b so that 30a68b (a > b) is divisible by 11.
What is the remainder when the product of 335, 608 and 853 is divided by 13?
- What is the least square number which is exactly divisible by 2, 3, 10, 18 and 20?
