DIVISIBILITY (POST 4)
Good Morning boys, today is your 4th class on the test of divisibility.
1. let us begin with the rule for 2 numbers ending in 0,2,4,6,8 are divisible by "2".
Eg. 144. Ending in 4
So, yes it is divisible by 2.
Eg. 133. Ending in 3
So, not divisible by 2.
2. Test of Divisibility for 3.
If the the sum of the digits is divisible by 3, then the number is divisible by 3.
Eg. 123- 1+2+3=6
So, yes 123 is divisible by 3.
Eg. 112- 1+1+2=4
So, 4 is not divisible by 3. Therefore 112 is not divisible by 3.
3. for 4.
The last 2 digits should end in zero-zero, or be divisible by 4.
Eg. 1200- Yes, it is divisible.
Eg. 1204 - yes,it divisible.
Eg. 1253- No, it is not divisible as 53 is not a multiple of 4.
4. for 5.
If the digit in the ones place is a '0' or '5' , then it is divisible by 5.
Eg. 505- yes, it is.
Eg. 500- Yes, it is.
Eg. 523- No,it is not.
5. For 6.
If the number is divisible by 2 and 3 then it is divisible by 6.
2 3 6
Eg. 124 yes no no
Eg. 126 yes yes yes
6. for 8.
if the last 3 digits end in '0'0'0' or is divisible by '8' then the number is divisible by 8.
Eg. 24000 - yes, it is.
Eg. 24480 - yes,it is.
Eg. 12223 - NO.
7. for 9
The divisibility of 9 is similar to that of 3. If the sum of the digits is divisible by 9, then the number is divisible by 9.
Eg. 1361- 1+3+6+1=11 so, no it is not divisible.
Eg. 333- 3+3+3= 9 so, yes it is divisible.
Eg. 963- 9+6+3=18 So, yes it is divisible.
8. For 10.
If the Number ends in 0 then the number is divisible by 10.
Eg. 870 , yes
Eg. 555 , No.
Now that we have learnt the rules of divisibility, you could attempt question 2 and 3 on page 57.
Q2. determine which of the following numbers are divisible by 4 and 8.
4 8
a. 572 yes no
b. 726352 yes no
Q3. Determine which of the following are divisible by 6?
2 3 6
a. 297144 yes yes yes
b. 1258 yes No No
Thank you For attending the class, hope you have a good day and don't forget to do your homework.
1. let us begin with the rule for 2 numbers ending in 0,2,4,6,8 are divisible by "2".
Eg. 144. Ending in 4
So, yes it is divisible by 2.
Eg. 133. Ending in 3
So, not divisible by 2.
2. Test of Divisibility for 3.
If the the sum of the digits is divisible by 3, then the number is divisible by 3.
Eg. 123- 1+2+3=6
So, yes 123 is divisible by 3.
Eg. 112- 1+1+2=4
So, 4 is not divisible by 3. Therefore 112 is not divisible by 3.
3. for 4.
The last 2 digits should end in zero-zero, or be divisible by 4.
Eg. 1200- Yes, it is divisible.
Eg. 1204 - yes,it divisible.
Eg. 1253- No, it is not divisible as 53 is not a multiple of 4.
4. for 5.
If the digit in the ones place is a '0' or '5' , then it is divisible by 5.
Eg. 505- yes, it is.
Eg. 500- Yes, it is.
Eg. 523- No,it is not.
5. For 6.
If the number is divisible by 2 and 3 then it is divisible by 6.
2 3 6
Eg. 124 yes no no
Eg. 126 yes yes yes
6. for 8.
if the last 3 digits end in '0'0'0' or is divisible by '8' then the number is divisible by 8.
Eg. 24000 - yes, it is.
Eg. 24480 - yes,it is.
Eg. 12223 - NO.
7. for 9
The divisibility of 9 is similar to that of 3. If the sum of the digits is divisible by 9, then the number is divisible by 9.
Eg. 1361- 1+3+6+1=11 so, no it is not divisible.
Eg. 333- 3+3+3= 9 so, yes it is divisible.
Eg. 963- 9+6+3=18 So, yes it is divisible.
8. For 10.
If the Number ends in 0 then the number is divisible by 10.
Eg. 870 , yes
Eg. 555 , No.
Now that we have learnt the rules of divisibility, you could attempt question 2 and 3 on page 57.
Q2. determine which of the following numbers are divisible by 4 and 8.
4 8
a. 572 yes no
b. 726352 yes no
Q3. Determine which of the following are divisible by 6?
2 3 6
a. 297144 yes yes yes
b. 1258 yes No No
Thank you For attending the class, hope you have a good day and don't forget to do your homework.
Good morning I am Anand George
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ReplyDeleteMa'am, as per the answer given for Q2 b, the answer is no. However, the number is divisible by 8,hence should have been Yes
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Deleteplease mention the exercise number . Q2b of which exercise?
DeleteThe work done today. Pg 57, Q2 divisibility by 8
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