Highest common factors and prime factors

Highest common factors and prime factors

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Lesson details

Key learning points

  1. In this lesson, we will use venn diagrams to sort prime factors and to help in identifying highest common factors.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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6 Questions

Q1.
Which of these is not a factor of 27?
1
27
Correct answer: 7
9
Q2.
Which is not a factor of 54?
27
Correct answer: 4
6
9
Q3.
Which is a common factor of 28 and 36?
12
Correct answer: 4
6
7
Q4.
What is the highest common factor of 6 and 9?
1
Correct answer: 3
54
6
Q5.
What is the HCF of 30 and 42?
12
4
Correct answer: 6
Q6.
True or False? If the HCF is 12, then 4 and 3 are common factors.
False
Correct answer: True

5 Questions

Q1.
Which represents 24 as a product of prime factors?
=2 × 2 × 3× 3
2 × 2 × 2 × 2
Correct answer: 2 × 2 × 2 × 3
Q2.
What number should replace the square in the Venn diagram?
An image in a quiz
14
4
Correct answer: 56
Q3.
What number should replace the square in the Venn diagram?1
An image in a quiz
2
Correct answer: 3
6
Q4.
Using the Venn diagram, what is the HCF of 24 and 36?
An image in a quiz
Correct answer: 12
24
7
Q5.
True or False? Sometimes there isn’t a highest common factor!
Correct answer: False
True

Lesson appears in

UnitMaths / Prime factor decomposition