New
New
Year 7

Checking understanding of prime numbers

I can state the properties of a prime number and can identify prime numbers.

New
New
Year 7

Checking understanding of prime numbers

I can state the properties of a prime number and can identify prime numbers.

Lesson details

Key learning points

  1. Prime numbers all share the same properties.
  2. Prime numbers can be identified using factors.
  3. Prime numbers can be identified using multiples.
  4. The Sieve of Eratosthenes is an efficient method for finding primes.

Common misconception

1 is a prime number

1 is not a prime number as it only has one factor and a prime number has exactly two factors.

Keywords

  • Prime - A prime number is an integer greater than one with exactly two factors.

To bring prime numbers to life you could look at Eratosthenes in more detail. When you have been through the sieve of Eratosthenes challenge students to memorise them and then go around the class and recite them in order.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
The of two factors gives a multiple.
Correct Answer: product
Q2.
Which of the following is not a factor pair of 72?
9 × 8
12 × 6
3 × 24
Correct answer: 2 × 37
Q3.
Which factor is missing from the Venn diagram?
An image in a quiz
Correct Answer: 7, seven
Q4.
Which of the following is not a common factor of 24 and 32?
An image in a quiz
4
8
Correct answer: 12
Correct answer: 16
Q5.
Which of the following is not true of the Venn diagram?
An image in a quiz
5, 10, 15 and 30 are factors of 30 but not 18
The common factors of 18 and 30 are all factors of 6
30 has more factors than 18
Correct answer: 9 is a common factor of 18 and 30
Q6.
How many factors does 13 have?
Correct Answer: 2, two

6 Questions

Q1.
Fill in the missing word from this sentence: A prime number has exactly factors.
Correct Answer: 2, two
Q2.
Which of the following arrays shows that 9 is not a prime number?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
Which of the following is not a prime number?
3
17
Correct answer: 21
37
Q4.
True or false? 51 is a prime number.
True, you can't divide it by 2, 5, 7 or 10.
Correct answer: False, it has more than 2 factors: $$1 \times 51$$ and $$3 \times 17$$
Q5.
True or false? All numbers ending in 3 are prime numbers.
True, because 3, 13 and 23 are prime numbers.
Correct answer: False, 33 ends in a 3, but it has 2 factor pairs.
Q6.
Which number is the odd one out in this list? 43, 53, 63, 73
43
53
Correct answer: 63
73