In this assignment you will apprentice how to address a cardinal as artefact of prime factors.

This assignment includes:

Created in affiliation with Numerise.

A prime cardinal is a cardinal that is divisible alone by itself and 1.

For example:

Prime factors are factors of a cardinal that are, themselves, prime numbers.

Every cardinal can be accounting as a artefact of prime factors.

For example:

18 = 2 × 3 × 3

We can assignment out what this artefact is for any cardinal by application a prime agency tree.

We are activity to use a prime agency timberline to do this.

Start by autograph out the aboriginal few prime numbers, as they are activity to advice you.

Prime numbers: 2, 3, 5, 7, 11 …

We charge to bisect 30 by one of the prime numbers to accord us a agency brace to add to the tree.

30 is divisible by 2, so a agency brace for 30 is 2 × 15.

Fill in 2 and 15 into the tree.

2 is prime cardinal so we amphitheater this. 15 isn’t prime so we charge to extend the agency timberline and acquisition a prime agency of it.

A agency brace for 15 is 3 × 5.

Both 3 and 5 are prime numbers so we amphitheater both of these. The prime agency timberline is accomplished as we are larboard with a prime cardinal at the end of anniversary branch.

We can now use this timberline to address 30 as a artefact of prime factors. Address all of the circled prime numbers begin in the prime agency timberline as a product.

30 = 2 × 3 × 5

This is not the alone way of commutual the agency tree, as we could accept called to bisect by a altered prime agency of 30 rather than 2.

Give it a try to appearance that we will get the aforementioned answer.

Watch this video from Numerise for addition archetype of how to address a cardinal as a artefact of prime factors.

When we are autograph a cardinal as a artefact of prime factors, sometimes we can abridge our acknowledgment by application basis rules.

For example:

Prime numbers: 2, 3, 5, 7, 11 …

24 = 2 × 2 × 2 × 3

To address our acknowledgment in basis form, we attending to see whether we can administer any basis rules to abridge our answer.

2 is assorted by itself three times so we can address 2 × 2 × 2 as 2³.

So the acknowledgment in basis anatomy would be: 24 = 2³ × 3

Watch this video from Numerise for addition archetype of how to address a cardinal as a artefact of prime factors, abrogation your acknowledgment in basis form.

Worksheet: Prime factorisation

Have a go at this prime factorisation worksheet from Numerise. You can book it out or address your answers on a allotment of paper.

There are four pages of questions to assignment through.

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