Advertisements
Advertisements
Question
Find the remainder when 51439786 is divided by 3. Do this without performing actual division.
Advertisements
Solution
Sum of the digits of the number 51439786 = 5 + 1 + 4 + 3 + 9 + 7 + 8 + 6 = 43
The remainder of 51439786, when divided by 3, is the same as the remainder when the sum of the digits is divided 3.
When 43 is divided by 3, remainder is 1.
Therefore, when 51439786 is divided by 3, remainder will be 1.
APPEARS IN
RELATED QUESTIONS
If 21y5 is a multiple of 9, where y is a digit, what is the value of y?
If 31z5 is a multiple of 9, where z is a digit, what is the value of z? You will find that there are two answers for the last problem. Why is this so?
If 24x is a multiple of 3, where x is a digit, what is the value of x?
(Since 24x is a multiple of 3, its sum of digits 6 + x is a multiple of 3; so 6 + x is one of these numbers: 0, 3, 6, 9, 12, 15, 18…. But since x is a digit, it can only be that 6 + x = 6 or 9 or 12 or 15. Therefore, x = 0 or 3 or 6 or 9. Thus, x can have any of four different values)
If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?
1×5 divisible by 3?
There are some flowering trees in a garden. Each tree bears many flowers with the same number printed on it. Three children took a basket each to pick flowers. Each basket has one of the numbers, 3, 4 or 9 on it. Each child picks those flowers which have numbers divisible by the number on his or her basket. He/She takes only 1 flower from each tree. Can you tell which numbers the flowers in each basket will have?
Check the divisibility of 2146587 by 3.
Check the divisibility of 15287 by 3.
To play this game, everyone stands in a circle. One player calls out ‘one’. The next player says ‘two’ and so on. A player who has to call out 3 or a number that can be divided by 3 has to say ‘Meow’ instead of the number. One who forgets to say ‘Meow’ is out of the game. The last player left is the winner.
- Which numbers did you replace with ‘Meow’?
3, 6, 9 .........
If the sum of digits of a number is divisible by three, then the number is always divisible by ______.
