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.

  1. A.

    4

  2. B.

    2

  3. C.

    8

  4. 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.

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