Divisible by 3
This topic is on the divisibility rule of 3 and few
examples based on the topic.
If the sum of the digits is divisible by 3 then the whole
number is divisible by 3.
For example 519
The sum of the digits = 5 + 1 + 9 = 15
15 is divisible by 3 hence 519 is also divisible by 3
Here are few examples on the
divisibility rule of 3
1. Check whether the
following numbers are divisible by 3 or not?
(i) 789
(ii) 451
(iii) 322
(iv) 410
(v) 561
(vi) 111
(vii) 327
(viii) 848
(ix) 450
(x) 356
Solution:
(i) 789
Sum of the digits = 7 +
8 + 9 = 24
24 is divisible by 3
hence 789 is divisible by 3
(ii) 451
Sum of the digits = 4 +
5 + 1 = 10
10 is not divisible by 3
hence the number is also not divisible by 3
(iii) 322
Sum of the digits = 3 +
2 + 2 = 7
322 is not divisible by
3 as 7 is not divisible by 3
(iv) 410
Sum of the digits = 4 +
1 + 0 = 5
5 is not divisible by 3
hence 410 is also not divisible by 3
(v) 561
Sum of the digits = 5 +
6 + 1 = 12
561 is divisible by 3 as
12 is divisible by 3
(vi) 111
Sum of the digits = 1 +
1 + 1 = 3
3 is divisible by 3
hence 111 is also divisible by 3
(vii) 327
Sum of the digits = 3 +
2 + 7 = 12
327 is divisible by 3 as
12 is divisible by 3
(viii) 848
Sum of the digits = 8 +
4 + 8 = 20
20 is not divisible by 3
hence 848 is also not divisible by 3
(ix) 450
Sum of the digits = 4 +
5 + 0 = 9
9 is divisible by 3
hence 450 is also divisible by 3
(x) 356
Sum of the digits = 3 +
5 + 6 = 14
356 is not divisible by
3 as 14 is not divisible by 3
2. Fill in the blanks to
make the numbers divisible by 3.
(i) 6 …. 7
(ii) 4 …. 0
(iii) …. 75
(iv) 2 …. 6
(v) …. 33
(vi) 40 ….
(vii) 7 …. 3
(viii) 5 …. 6
(ix) …. 11
(x) 9 …. 0
Solution:
() 627
(ii) 480
(iii) 675
(iv) 216
(v) 333
(vi) 405
(vii) 753
(viii) 516
(ix) 111
(x) 900
Explanation:
The numbers should be filled in such a way that the sum
of the digits is divisible by 3.
You might like these


This rule states that a number is divisible by 9 if the sum of its digits of the number is divisible by 9 For eg: Check whether 729 is divisible by 9 or not? Sum of the digits = 7 + 2 + 9 = 18 Now 18 is divisible by 9 hence, 729 is also divisible by 9 Here are few examples

The most common method to check whether a number is divisible by 8 is to divide and see if the quotient is a whole number or not? If the quotient is a whole number then the given number is divisible by 8. But there is an easier way to check by using the divisibility rule.

This rule states that if the difference between twice the digit at units place and the number formed from the remaining digits of the given number is divisible by 7 then the whole number is divisible by 7.

This topic on divisible by 6 will discuss about the divisibility rule of 6 and few example on the same. Divisibility rule of 6: A number is divisible by 6 if the prime factor of that is 2 & 3 is divisible by 6. For Example: 216 216 is divisible by 2 as the last digit 6 is

This topic on divisible by 5 will discuss on the divisibility rule of 5 and illustrate few example on the same. Divisibility Rule of 5: If a number ends with 0 or 5 then the number is divisible by 5. For Example: 550 Since the number ends with 0 hence the number is divisible

This topic i on divisibility rule of 4 and will provide examples on the same. Divisibility Rule of 4: If the last two digits of the number is divisible by 4 then the whole number is divisible by 4 For eg: 524 The last two digit of the number is 24 which is divisible by 4.

This topic would deal with the divisibility rule of 2 and few sums on divisibility rule of 2. Numbers that are ending with 0, 2, 4, 6, and 8 are divisible by 2. That means numbers ending with 0 or multiples of 2 are divisible by 2. We know that numbers which are multiples of

This topic deals with the properties of divisibility which will help us in doing our multiplication and division easy. These rules will help us to determine quickly the factors of certain number, the divisibility criteria of certain number and helps in overall strengthening

1. List the first five multiples of the following numbers: 2. Choose the numbers that are factors of 24. 3. 3. Choose the numbers that are multiples of 15. 4. Choose the numbers which are multiple of 3 as well as factor of 36
5th Grade Math
From Divisible by 3 to HOME PAGE
New! Comments
Have your say about what you just read! Leave me a comment in the box below.