15-feb-14created by mr. [email protected] factors factors example :find the factors of 56....
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10 Apr 202310 Apr 2023 Created by Mr. Created by Mr. [email protected]@mathsrevision.com
FactorsFactorsw
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Factors
Example : Find the factors of 56.
F56 = 1 and 56
2 and 28
S3 Credit
Numbers that divide into 56 without leaving a remainder
4 and 14
7 and 8
FactorsFactors
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Highest Common Factor
We need to write out all factor pairs in order to find
the Highest Common Factor.
HighestCommonFactor
LargestSameNumber
S3 Credit
F8 = 1 and 8
2 and 4
FactorsFactors
10 Apr 202310 Apr 2023 Created by Mr. Created by Mr. [email protected]@mathsrevision.comw
ww
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srevis
ion
.com Example : Find the HCF of 8 and 12.
HCF = 4
F12 = 1 and 12
2 and 6
3 and 4
Highest Common FactorS3 Credit
2 and 5x
F4x =1, and 4x
FactorsFactors
10 Apr 202310 Apr 2023 Created by Mr. Created by Mr. [email protected]@mathsrevision.comw
ww
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srevis
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.com Example : Find the HCF of 4x and x2.
HCF = x
Fx2 = 1 and x2
Highest Common Factor
F5 = 1 and 5
Example : Find the HCF of 5 and 10x.
HCF = 5
F10x = 1, and 10x
S3 Credit
5 and 2x
10 and x
2 and 2x
4 and x
x and x
F ab = 1 and ab
a and b
FactorsFactors
10 Apr 202310 Apr 2023 Created by Mr. Created by Mr. [email protected]@mathsrevision.comw
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srevis
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.com Example : Find the HCF of ab and 2b.
HCF = b
F2b = 1 and 2b
2 and b
Highest Common Factor
F 2h2 = 1 and 2h2
2 and h2 , h and 2h
Example : Find the HCF of 2h2 and 4h.
HCF = 2h
F4h = 1 and 4h
2 and 2h
4 and h
S3 Credit
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FactorsFactors
Find the HCF for these terms
(a) 16w and 24w
(b) 9y2 and 6y
(c) 4h and 12h2
(d) ab2 and a2b
8w
3y
4h
ab
S3 Credit
10 Apr 202310 Apr 2023 Created by Mr. [email protected] by Mr. [email protected]
FactorisingFactorisingw
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Example Factorise 3x + 15
1. Find the HCF for 3x and 15 3
2. HCF goes outside the bracket 3( )
3. To see what goes inside the bracketdivide each term by HCF
3x ÷ 3 = x 15 ÷ 3 = 5 3( x + 5 )
Check by multiplying out the bracket to get back to where
you started
S3 Credit
10 Apr 202310 Apr 2023 Created by Mr. [email protected] by Mr. [email protected]
FactorisingFactorisingw
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Example
1. Find the HCF for 4x2 and 6xy 2x
2. HCF goes outside the bracket 2x( )
3. To see what goes inside the bracketdivide each term by HCF
4x2 ÷ 2x =2x 6xy ÷ 2x = 3y 2x( 2x- 3y )
Factorise 4x2 – 6xy
Check by multiplying out the bracket to get back to where
you started
S3 Credit
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FactorisingFactorising
Factorise the following :
(a) 3x + 6
(b) 4xy – 2x
(c) 6a + 7a2
(d) y2 - y
3(x + 2)
2x(2y – 1)
a(6 + 7a)
y(y – 1)
Be careful !
S3 Credit