Remainder Calculation for 987654321
To find the remainder when 987654321 is divided by 9, we can use the divisibility rule for 9.
Divisibility Rule for 9
The rule states that a number is divisible by 9 if the sum of its digits is divisible by 9. The remainder when a number is divided by 9 is the same as the remainder when the sum of its digits is divided by 9.
Applying the Rule
First, calculate the sum of the digits of the number 987654321:
Sum = $9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1$
Sum = $45$
Next, find the remainder when this sum (45) is divided by 9:
Remainder = $45 \pmod{9}$
Since $45 = 9 \times 5$, the remainder is 0.
Conclusion
Therefore, the remainder when 987654321 is divided by 9 is 0.
Similar Questions
- What is the remainder when 987654321 is divided by 9?
- Which number is NOT a multiple of 3?
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?
