Without doing the actual division, find the remainder when 28735429 is divided…
2024
Without doing the actual division, find the remainder when 28735429 is divided by 9.
- A.
4
- B.
2
- C.
8
- D.
9
Attempted by 3 students.
Show answer & explanation
Correct answer: A
To find the remainder when a number is divided by 9 without performing the actual long division, you can use the Divisibility Rule for 9.
The Divisibility Rule for 9
The remainder of any number when divided by 9 is equal to the remainder of the sum of its digits when divided by 9.
Step-by-Step Calculation
Find the sum of the digits of 28735429:
Sum = 2 + 8 + 7 + 3 + 5 + 4 + 2 + 9
Sum = 40
Divide the sum by 9 to find the remainder:
Now, divide 40 by 9:
40 ÷ 9 = 4 with a remainder of 4 (because 9 * 4 = 36, and 40 - 36 = 4).
Therefore, the remainder when 28735429 is divided by 9 is 4.