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Sir Francis Drake

Everest - Monday

Maths - Common Factors, Common Multiples and Prime Numbers

Look at the clip below to review what factors and multiples are:


factor is a number that divides into another number exactly. To find the common factors of two numbers, you first need to list all the factors of each one and then compare them.

If a factor appears in both lists then it is a common factor.

For example, the factors of 8 are:

124 and 8

The factors of 12 are:

12, 3, 4, 6 and 12

Therefore, the common factors of 8 and 12 are:

12, and 4

What is a common multiple

The multiples of a number are all the numbers that it will divide into.

The multiples of 4 are 48121620242832364044

The multiples of 6 are 612182430364248546066

1224, and 36 are multiples of both 4 and 6 and are known as the common multiples of 4 and 6.

Identifying prime numbers

  • A prime number will only have two factors.

  • A prime number will only be divisible by 1 and by itself.


Look at the clip below for a handy way to identify Prime numbers.

You may want to open the 100-square here and work through it with the clip.

  • 1 is not a prime number as it only has one factor - itself.
  • 2 is prime as it forms a rectangle that is 1 card by 2. So 2 only has two factors.
  • 3 is prime as this forms a rectangle that is 1 card by 3. It has only two factors.
  • 4 is the next number. We can see that 4 is not prime. This is because you can form a 2 x 2 rectangle, which has 2 columns.
  • 5 is prime as it forms a rectangle that is 1 card by 5. It only has two factors.
  • 6 is not prime as it can form a rectangle that is 3 x 2

Activity 1



Click here for your worksheet on Factors and Multiples. 

Activity 2



Click here for your worsheet on identifying Prime Numbers 


English - Active and Passive Verbs

Look at the clip below to review what active and passive verbs are. In this clip they use the word 'voice' instead of verb.

Active and passive verbs

We can tell if a sentence has used an active or passive verb by asking some simple questions:

  • Is the subject performing the verb? (If yes, it is an active sentence)


  • Is the subject having the action done to it? (If yes, it is a passive sentence)


  • Is it clear who is performing the action? (If not, it is a passive sentence)

For example:

Active: Wales beat Spain in the final.

Passive: Spain were beaten by Wales in the final.

Remember: The subject is the person or thing who is doing the action or is being described.

Now, watch this video that shows how active verbs can be changed to passive verbs in sentences.



Activity 1



Click here for your worksheet on Active and Passive Verbs 

Activity 2



Look at the clip below:

Write three matching active and passive sentences about what you see in this clip.


Active: The scientist cooked a fried egg.

Passive: A fried egg was cooked by the scientist.

As usual, please send your completed work to: