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Factor Tree Puzzles

Fill in the partially completed factor trees in this collection of diagrams.

Instructions Exercise Puzzles Sieve Primes HCF LCM Challenge More Factors

Type whole numbers greater than one into the circles to complete the factor trees. Remember that each branch of the tree will eventually end in a prime number. You can read instructions for more information about completing factor trees.

Check Correct Wrong
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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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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.

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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.

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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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When planning to use technology in your lesson always have a plan B!

Sarah Carter, Twitter

Wednesday, June 20, 2018

Chris Smith, Newsletter 587

Saturday, February 12, 2022

"Find two positive integers (neither ending in zero) that multiply to give 10000. It may help to find the prime factors of 10000 first."

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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Scan the QR code below to visit the online version of this activity.

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Example

If you are not familiar with factor trees I suggest you do the 'exercise' before attempting these puzzles. The following instructions explain how to do the exercise.

Instructions Instructions
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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