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'Factors and Multiples Game' printed from http://nrich.maths.org/

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At Montsaye Community College in Northamptonshire, Year 8 students have taken on the challenge of finding the longest sequence of numbers that can be crossed out.

Gabrielle and Lauren managed a sequence of 50 numbers:




Sophie and Tasmin managed to improve on that:




Gabrielle and Lauren managed to improve on their earlier effort:




And Sophie and Tasmin also managed to do better!





Abigail from Ridgewood School also managed a chain of 61 numbers:
 

Abigail's solution


Alfie, Manuel, Jack and Emilio from Newhall School in Chelmsford, Essex, worked as a team to also produce a chain of 61:

Newhall solution


A.H. from Manorfield Primary School has improved on this by finding a chain of $63$ numbers:

90-9-99-33-66-11-44-22-88-8-80-40-10-100-20-60-30-15-75-25-50-5-35-7-70-14-56-28-
84-21-42-6-78-39-13-26-52-4-68-34-17-51-1-46-92-23-69-3-57-19-38-76-2-24-72-18-
36-12-48-16-24-32-96
 
 
 
James from Ridgewood School showed he could do even better:
 
solution
 


Linda from Bohunt School also used 68 numbers:

 link

A group of Year 9 students from The Perse School for Girls in Cambridge worked together and managed an even longer chain of numbers:

 

 Chain of 71

 

And Claire, of Blackheath High School in London, has managed to improve on that:

 


Jacky, from Princethorpe College in Rugby, has managed to go one better with a chain of 74:

 

Jesse from Moriah College in Sydney, Australia also managed a chain of 74 numbers:

 

Well done to all of you. Do let us know if you can do any better!