Does 4554 divided by 9 have a remander?

Answer 1

506

Answer 2

No.

To find the remainder when dividing by 9, add the digits together. The remainder when this sum is divided by 9 is the same as the remainder when the original number is divided by 9. (This process can be repeated on the sum.)

4 + 5 + 5 + 4 = 18

1 + 8 = 9

9 is has no remainder when divided by 9,

⇒ 18 has no remainder when divided by 9.

⇒ 4554 has no remainder when divided by 9.

If the summing procedure is repeated until a single digit remains, then this digit is the remainder, unless it is 9 when the remainder is 0. This is known as finding the digital root of the number.