To help keep your brain ticking over during the festive break we’ve published a nice a little factors and multiples challenge below. You can undertake this on your own, or challenge your friends and family. However you choose to play it, please make sure you add your answer(s) as a response below.

The challenge is to find the longest sequence of numbers that you can in the range 1 to 100. But as it’s a challenge, it’s not as simple as 1, 2, 3, 4, 5 … 100. Each number in the sequence must be a factor or multiple of the previous number, and each number can only appear once in the sequence. You can start with any number.

Please enter your sequence of numbers as a response below.

To help you keep track of the numbers in your sequence, we’ve created a 100 square grid that you can use to cross off the numbers as you go. Click on the image below and save it or open it in a new tab and print it.

Bonus challenge

After you’ve undertaken the challenge using brain power, why not write a little tool to automate it? This could be a simple program to solve the answer, or it could have a UI to help you select the numbers and keep score. Please make sure you share a link to anything you build below.