Prime Factors Questions And Answers

Unit 2 Department 2 : Prime Factors

A factor tree can be used to help find the prime factors of a number.

The tree is constructed for a particular number by looking for pairs of values which multiply together to requite that number.
These pairs are added equally "leaves" below the original number. If a leafage is prime, then it can be circled every bit it is a prime cistron.
Leaves which are not prime tin can be broken down in the same way equally the original number, until all the leaves are prime.

The slideshow below shows how to find the prime factors of 36 using a factor tree.

Breaking 36 into its prime factors using a factor tree.

Use the arrows on either side to move through the slideshow

Of course, nosotros didn't necessarily need to start by breaking 36 into 9 and 4.
The next slideshow shows what happens if you intermission the 36 into 6 and 6.

Breaking 36 into its prime factors using a "different" gene tree.
Use the arrows on either side to move through the slideshow

A factor tree for the number 36 will always give "2", "2", "three" and "3" equally the prime factors.
The number 36 tin can be written every bit a product of its prime number factors by multiplying these four numbers together.

Writing 36 every bit a product of its prime factors gives ii � ii � 3 � 3

Example Question 1

For each of the numbers beneath, describe factor trees on paper to write the number as a product of its prime factors.
Work out the answer then click on the button marked

to see whether you are correct.

The answers can exist written in whatever gild, but we tend to put the smallest prime factors first.

(a) Write 102 as a product of its prime number factors

(b) Write 60 as a production of its prime factors

Example Question 2

A number is expressed as a production of its prime factors as:two³ � 3² � 5

What is the number

Exercises

Work out the answers to the questions below and fill in the boxes. Click on the

button to find out whether you accept answered correctly. If you are right and then

will announced and yous should motion on to the adjacent question. If

appears then your answer is wrong. Click on

to articulate your original reply and have some other go. If you can't work out the right reply and so click on

to see the respond.

Y'all have now completed Unit 2 Section two

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Produced by A.J. Reynolds Jan 2003 >