What is the longest sequence you can make from the numbers below?

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Each number in the sequence must be a factor or multiple of the previous number.

Start
Again

Share

Topics: Starter | Arithmetic | Factors | Mental Methods | Number

• Transum,
•
• This is a fascinating activity on a number of levels. It is accessible to pupils who have learned about factors and multiples and need practice but it also proves to be an interesting activity for older pupils who may analyse the situation from a more general perspective. Finding the best solution and being sure that it can't be bettered is a challenge for the most able. What strategies did your class come up with?
• Mrs M,
•
• Good to revise factors and multiples.
• WKGS, Wirral
•
• We got 18!
• Paula, Portsmoiuth
•
• I got 20!
• Katy, Sydney
•
• Got 21! Definitely going to this to extend my students.
• Room 5, Cool School
•
• WE got 21 too!! Took us afew goes but we think 21 is brilliant.
• Mr S, Haslemere
•
• We got 20, please post solution for 21.
• Kai and Finn, 5M
•
• Finn and I got 20. WOW!
• Luca, Canberra, Australia
•
• I got 20 but still working on it.
• Oliver, Tenterden Joinior
•
• Amazing I got the best score in my class 15.
• Miss Collins,
•
• This a really great starter for my class. It makes you think a lot.
•
• ImagineMath,
•
• Here's a solution for 21:
{23, 1, 11, 22, 2, 14, 7, 21, 3, 9, 18, 6, 12, 24, 8, 16, 4, 20, 10, 5, 15}.
• 9M4, Pudsey
•
• Year 6, Australia
•
• This game is so fun, definitely recommended if you are learning factors and multiples. I can make a long chain but sometimes it is hard. Can you all the numbers?
• Red Ho5 @NetZeroLee, Coppell, Texas
•
• We loved this activity! Got 21!
•

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.7 out of 5 based on 564 votes.

Previous Day | This starter is for 7 May | Next Day

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.

Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

Texas Instruments Nspire Calculator

This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.

For the young people in your life it is a great investment. Bought as a gift for a special occasion but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more...

The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.

The redesigned Retina display is as stunning to look at as it is to touch. It all comes with iOS, the world's most advanced mobile operating system. iPad Pro. Everything you want modern computing to be. more...

Click the images above to see all the details of these items and to buy them online.

 Teacher, do your students have access to computers?Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Transum.org/go/?Start=May7

Here is the URL which will take them to the game version of this activity.

Transum.org/go/?Num=841

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=factortrees

Extension

What is the longest sequence that can be generated if the numbers 1 to 100 are available?

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

For Students:

For All: