Transum Software

Divisibility Test

Practise using the quick ways to spot whether a number is divisible by the digits 2 to 9.

 What are the divisibility tests? |  Activities with Factors  More Number Patterns

Tick boxes to show where the black number is exactly divisible by the red number.

23456789
11 Correct Wrong
30 Correct Wrong
73 Correct Wrong
857 Correct Wrong
4945 Correct Wrong
10191 Correct Wrong
22652 Correct Wrong
30537 Correct Wrong
47946 Correct Wrong
1985632 Correct Wrong

If you are confident with this concept try the Delightfully Divisible challenge.

Matrix simulation redesigned by Arunkumar Gudelli

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

Featured Activity

Nim

Nim

A very old game but one which involves mathematical based strategies. Take turns with the computer to remove items from the piles. You can remove as many items from the same row as you like. Whoever removes the last item is the winner.

Answers

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

"I created a rule for divisibility by seven, eleven and thirteen whose algorithm for divisibility by seven is this:
N = a,bcd; a' ? ( ? cd mod 7 + a ) mod 7; cd is eliminated and if 7|a'b then 7|N. The procedure is applied from right to left repetitively till the leftmost pair of digits is reached. If the leftmost pair is incomplete consider a = 0.
Example: N = 382,536, using simple language:
36 to 42 = 6; 6 + 2 ? 7 = 1 ? 15; 15 to 21 = 6; 6 + 3 ? 7 = 2 ? 28; 7|28 and 7|N.
This rule is mentioned in my unpublished (officially registered) book: Divisibility by 7, the end of a myth?."

Silvio Moura Velho, Http://www.pascalsimplified.blogspot.com.br
Wednesday, July 30, 2014

 

"To illustrate my last comment I ask you to watch this video:
https://www.youtube.com/watch?v=d8Bmf9BNonU
I hope you like it."

Silvio Moura Velho, Silvelho@hotmail.com
Friday, November 21, 2014

 

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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Divisibility Tests:

A number is divisible by 2 if its last digit is even (0,2,4,6 or 8)

A number is divisible by 3 if the sum of its digits is divisible by 3.

A number is divisible by 4 if the number's last two digits are divisible by 4.

A number is divisible by 5 if the its last digit is a 0 or 5.

A number is divisible by 6 if it is divisible by 2 and 3 (see rules above).

There is no simple test for divisibility by seven, you need to do the division and check there is no remainder!

A number is divisible by 8 if the last three digits form a number that is divisible 8.

A number is divisible by 9 if the sum of the digits is divisible by 9.

A number is divisible by 10 if its last digit is 0.

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