Year 7

Highest common factors and prime factors

Year 7

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.

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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