Highest common factor with algebraic terms | Maths | Quizalize & Oak National Academy

Starter quiz

$1, 5, x, y, xy, 5x, 5y$ and $5xy$ are all __________ of the algebraic term $5xy$
- variables
- multiples
- factors ✓
- constants
List all the factors of 36.
- 2, 3, 4, 6, 9, 12, 18
- 1, 2, 3, 4, 9, 12, 18, 36
- 1, 2, 3, 4, 6, 9, 12, 18, 36 ✓
- 1, 2, 3, 4, 6, 9, 12, 16, 18, 36
- 1, 2, 3, 6, 9, 16, 18, 36
What is the Highest Common Factor of 16 and 20?
- 320
- 8
- 4 ✓
- 2
- 1
Simplify $6ac \times 3ab$
- $9abc$
- $9a^2bc$
- $18abc^2$
- $18a^2bc$ ✓
- $18abc$
Select all the expressions which are always equal to $12xy^2z$
- $2xy \times 6yz$ ✓
- $3xy \times 4yz$ ✓
- $2xy \times 6xz$
- $3xyz \times 6y$
- $xyz \times 12y$ ✓
Use this Venn Diagram to find the HCF of 84 and 462.
- 7
- 2
- 22
- 42 ✓
- 924

HCF is an abbreviation of Highest ______ Factor.
- 'Common' ✓
List all the factors of $8f$ .
- $8, f$
- $1, 8, f, 8f$
- $1, 2, 4, 8, f, 8f$
- $1, 2, 4, 8, f, 2f, 4f, 8f$ ✓
- $1, 2, 4, 6, 8, f, 2f, 4f, 6f, 8f$
List all the factors of $9y^2$
- $1, 9, y, y^2$
- $1, 9y^2, 3y, 3y^2$
- $3, 9, y^2, 3y^2$
- $1, 3, 9, y, 3y, 9y, y^2, 3y^2, 9y^2$ ✓
- $3, 6, 9, y, 3y, 6y, 9y, y^2, 3y^2, 9y^2$
List all of the common factors of $6xy$ and $18xz$ .
- $1, 2, 3, 6, x, 2x, 3x, 6x, xy, 2xy, 3xy, 6xy$
- $1, 2, 3, 6, x, 2x, 3x, 6x$ ✓
- $1, 2, 3, 6$
- $x, 2x, 3x, 6x$
- $6x$
Match the pairs of terms to their Highest Common Factor.
- $8e$ and $12def$
  
  ⇔
  
  $4e$ ✓
- $9ef$ and $15df$
  
  ⇔
  
  $3f$ ✓
- $9ef$ and $15def$
  
  ⇔
  
  $3ef$ ✓
- $8de^2$ and $12d^2ef$
  
  ⇔
  
  $4de$ ✓
- $4de^2$ and $12d^3e^2f$
  
  ⇔
  
  $4de^2$ ✓
Use the Venn Diagram to find the HCF of $20abc^2$ and $25a^2c^3$
- $5ac^2$ ✓
- $5a^2c$
- $5ac$
- $4b$
- $100a^2bc^3$

Loading worksheet ...

Loading presentation ...

The highest common factor of two numbers can be found.
Common factors of two terms can be found.
It is possible to identify the highest common factor of two algebraic terms.
It is possible to identify the highest common factor of more than two algebraic terms.

That factors only apply to whole numbers and a factor needs to be a whole number.

Whilst this is true for numerical factors, the factors of 7ab are 1, 7, a, b, 7a, 7b and ab.

Factor - A factor is a term which exactly divides another term.
Highest common factor - The highest common factor of two or more terms which can be divided by all other possible common factors.
Hcf - HCF is an abbreviation for highest common factor.
Factorise - Factorise means to express a term as the product of its factors.