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We have now included a quiz to practice the concepts provided earlier. The quiz has full explanation describing steps to solve the questions using concepts provided in the 1st link. To attempt the quiz go here

Quiz on Prime number divisibility rule

The prime numbers are the numbers that have only 2 factors, first is 1 and the number itself. Getting to know if a number is a divisible fully by a prime number is difficult task as it doesn't have many factors. In our earlier post we have given easy tricks to divide by prime numbers. Tricks to divide by Prime Numbers The quiz has question in yes or no format, at the end a full explanation is provided how the answer is arrived on.

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Question 1

Is 22403 divisible fully by 43 ?

A

No

B

Yes

Question 1 Explanation:

Step1.> 13 x 3 = 39 then 2240 + 39 = 2279
Step2.> 13 x 9 = 117 then 227 + 117 = 344
Step3.> 13 x 4 = 52 then 34 + 52 = 86
If You do not remember the table of 13 then download our multiplcation table Multiplication Table Chart- Hand outs for prints

Question 2

Is 26412 divisible fully by 31 ?

A

Yes

B

No

Question 2 Explanation:

Step1. > 3 x 2 = 6 then 2641 - 6 = 2635
Step2. > 3 x 5 = 15 then 263 - 15 = 248
Step3. > 3 x 8 = 24 then 24 - 24 = 0
So 26412 is divisble by 31

Question 3

Is 968575 fully divisible by 17 ?

A

Yes

B

No

Question 3 Explanation:

Step 1. > 5 x 5 = 25 then 96857 - 25 = 96832
Step 2. > 2 x 5 = 10 then 9683 - 10 = 9673
Step 3. > 3 x 5 = 15 then 967 -15 = 952
Step 4. > 2 x 5 = 10 then 95 - 10 = 85
85 is multiple of 17

Question 4

Is 2105744 divisible fully by 37 ?

A

Yes

B

No

Question 4 Explanation:

Step1.> 4 x 11 = 44 then 210574 - 44 = 210530 < br />
Step2.> 0 x 11 = 0 then 21053 - 0 = 21053 < br />
Step3.> 3 x 11 = 33 then 2105 - 33 = 2072 < br />
Step4.> 2 x 11 = 22 then 2072 - 22 = 2050a < br />
Step5.> 0 x 11 = 0 then 205 - 0 = 205

Question 5

is 3428 divisible fully by 23?

A

Yes

B

No

Question 5 Explanation:

Step1.> 7 x 8 = 56 then 342 + 56 = 398
Step2. > 7 x 8 = 56 then 39 + 56 = 95
and nearest no. divisible by 23 is 92

Question 6

Is 962517 is divisible by 41 ?

A

Yes

B

No

Question 6 Explanation:

Step1.> 4 x 7 = 28 then 96251 - 28 = 96223
Step2. > 4 x 3 = 12 then 9622 -12 = 9610
Step3.> 4 x 0 = 16 then 961 - 0 = 961
Step4.> 4 x 1 = 4 then 96 - 4 = 92

Question 7

Is 10185 is divisible fully by 19 ?

A

No

B

Yes

Question 7 Explanation:

Step1. > 5 x 2 = 10 then 1018 +10 = 1028
Step 2 > 8 x 2 = 16 then 1028 +16 = 1044 ( If you find difficult to add 16, add 20 then subtract 4, 1028 +20 - 4)
Step 3 > 4 x 2 = 8 then 104 + 8 = 112 ( If you don't rememeber table of 19 (19 x 6 = 114 ) then go to step 4)
Stepp 4 > 2 x 2 = 4 then 11 + 4 = 18 not divisible

Question 8

Is 156651 is it divisible fully with 47?

A

Yes

B

No

Question 8 Explanation:

if you will note from the number it has special sequence start with 15 and end with 51 with middle numbers such as 66, such numbers are normally divisible by 11. Take a try and you might as well get answer.
The other way to solve is as follows:
Step1.> 14 x 1 = 15665 - 14 = 15651
Step2.> 14 x 1 = 1565 - 14 = 1551
Step3.> 14 x 1 = 155 - 14 = 141 ( 47 x 3 = 141)
If You do not remember the table of 13 then download our multiplcation table Multiplication Table Chart- Hand outs for prints

Question 9

5887174 is divisible fully by 29 ?

A

No

B

Yes

Question 9 Explanation:

There is an easy way to solve this problem if you will notice (58), (87) (174) are multiples of 29, so in your mind you can easily calculate to get 203006. You must be thinking why to add zeros in between. I am sure you would have learned the division when you add zeros to get the numbers down when the number is smaller than divisors
The other method
Step1. > 3 x 4 = 12 then 588717 + 12 = 588729
Step2. > 3 x 9 = 27 then 58872 + 27 = 58899
Step3. > 3 x 9 = 27 then 5889 + 27 = 5916
Step4. > 3 x 6 = 18 then 591 +18 = 609
Step5. > 3 x 9 = 27 then 60 + 27 = 87 ( 29 x 3 = 87)

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