Scroll:Numbers >> Prime factorisation >> saq (4105)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Write the prime factorisation of 12. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).


Answer:_______________




2)  

 Write the prime factorisation of 6. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).


Answer:_______________




3)  

Write the prime factorisation of 18. Use exponents when appropriate and order the factors from least to greatest (for example, 2*3*5).




Answer:_______________




4)  

Write the prime factorisation of 20. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).


Answer:_______________




5)  

 Write the prime factorisation of 4. Use exponents when appropriate and order the factors from least to greatest (for example, 2*3*5).


Answer:_______________




6)  

 Write the prime factorisation of 15. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).


Answer:_______________




7)  

 Write the prime factorisation of 10. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).


Answer:_______________




8)  

Write the prime factorisation of 8. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).


Answer:_______________




9)  

 Write the prime factorisation of 16. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).


Answer:_______________




10)  

 Write the prime factorisation of 9. Use exponents when appropriate and order the factors from least to greatest (for example, 2*3*5).


Answer:_______________




 

1)  

 Write the prime factorisation of 12. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).

Answer: 2*2*3


SOLUTION 1 :

Remember:

A prime factorisation shows how to write a number as the product of prime factors.

Solve:

Divide by prime factors until the quotient is 1.
12
÷
2
 = 6
 
6
÷
2
 = 3
 
3
÷
3
 = 1
 
The prime factorisation of 12 is:
2*
2*3
Rewrite the repeated factor (2) with exponent.
2
2
 *
3

 



2)  

 Write the prime factorisation of 6. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).

Answer: 2*3


SOLUTION 1 :

Remember:

A prime factorisation shows how to write a number as the product of prime factors.

Solve:

Divide by prime factors until the quotient is 1.
6
÷
2
 = 3
 
3
÷
3
 = 1
 
The prime factorisation of 6 is:
2*
3


3)  

Write the prime factorisation of 18. Use exponents when appropriate and order the factors from least to greatest (for example, 2*3*5).

Answer: 2*3*3


SOLUTION 1 :
Divide by prime factors until the quotient is 1.
18
÷
2
 = 9
 
9
÷
3
 = 3
 
3
÷
3
 = 1
 
The prime factorisation of 18 is:
2*
3*
 3
3
Rewrite the repeated factor (3) with exponent.
2
 *
3
2

 



4)  

Write the prime factorisation of 20. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).

Answer: 2*2*5


SOLUTION 1 :

Remeber:

A prime factorisation shows how to write a number as the product of prime factors.

Solve:

Divide by prime factors until the quotient is 1.
20
÷
2
 = 10
 
10
÷
2
 = 5
 
5
÷
5
 = 1
 
The prime factorisation of 20 is:
2
 *
2*
5
Rewrite the repeated factor (2) with exponent.
2
2
5


5)  

 Write the prime factorisation of 4. Use exponents when appropriate and order the factors from least to greatest (for example, 2*3*5).

Answer: 2*2


SOLUTION 1 :

Remember:

A prime factorisation shows how to write a number as the product of prime factors.

Solve:

Divide by prime factors until the quotient is 1.
4
÷
2
 = 2
 
2
÷
2
 = 1
 
The prime factorisation of 4 is:
2*
2
Rewrite the repeated factor (2) with exponent.
2
2


6)  

 Write the prime factorisation of 15. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).

Answer: 3*5


SOLUTION 1 :

Remeber:

A prime factorisation shows how to write a number as the product of prime factors.

Solve:

Divide by prime factors until the quotient is 1.


15÷3 = 5


5÷5 = 1


The prime factorisation of 15 is:


3*5



7)  

 Write the prime factorisation of 10. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).

Answer: 2*5


SOLUTION 1 :

Remember:

A prime factorisation shows how to write a number as the product of prime factors.

Solve:

Divide by prime factors until the quotient is 1.
10
÷
2
 = 5
 
5
÷
5
 = 1
 
The prime factorisation of 10 is:
2*
5


8)  

Write the prime factorisation of 8. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).

Answer: 2*2*2


SOLUTION 1 :

Remember:

A prime factorisation shows how to write a number as the product of prime factors.

Solve:

Divide by prime factors until the quotient is 1.
8
÷
2
 = 4
 
4
÷
2
 = 2
 
2
÷
2
 = 1
 
The prime factorisation of 8 is:
2*
2 *2
Rewrite the repeated factor (2) with exponent.
2
3

 



9)  

 Write the prime factorisation of 16. Use exponents when appropriate and order the factors from least to greatest (for example, 2*2*3*5).

Answer: 2*2*2*2


SOLUTION 1 :

Remember:

A prime factorisation shows how to write a number as the product of prime factors.

Solve:

Divide by prime factors until the quotient is 1.
16
÷
2
 = 8
 
8
÷
2
 = 4
 
4
÷
2
 = 2
 
2
÷
2
 = 1
 
The prime factorisation of 16 is:
2*
2*2*2
Rewrite the repeated factor (2) with exponent.
2
4


10)  

 Write the prime factorisation of 9. Use exponents when appropriate and order the factors from least to greatest (for example, 2*3*5).

Answer: 3*3


SOLUTION 1 :

A prime factorisation shows how to write a number as the product of prime factors.

Solve:

Divide by prime factors until the quotient is 1.
9
÷
3
 = 3
 
3
÷
3
 = 1
 
The prime factorisation of 9 is:
3*
3
Rewrite the repeated factor (3) with exponent.
3
2