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Level 5-6 Algebra - Prime Numbers
Is 14 a prime number?

Level 5-6 Algebra - Prime Numbers

Discover how prime numbers form the building blocks of all whole numbers. Learn to spot them, test them, and understand why they matter in KS3 Maths.

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Fascinating Fact:

The number 2 is the smallest prime and 97 is the largest prime below 100, handy landmarks on the number line.

In KS3 Maths, students explore how prime numbers cannot be divided evenly by any number except 1 and themselves. Understanding primes is key to factorisation, divisibility, and higher algebra topics.

  • Prime number: A number with exactly two factors, 1 and itself.
  • Composite number: A number with more than two factors.
  • Factorisation: Breaking a number down into the prime numbers that multiply to make it.
How can I tell if a number is prime?

A number is prime if it can only be divided exactly by 1 and itself. Try dividing it by smaller primes such as 2, 3, 5, or 7 to check.

Is 1 a prime number in KS3 Maths?

No, 1 is not a prime number because it has only one factor, itself. Prime numbers must have exactly two factors, 1 and the number.

Why are prime numbers important in Maths?

Prime numbers are important because they form the building blocks of all whole numbers. Every number can be expressed as a product of primes.

1 .
The number 24 has eight factors. Seven of the factors are 1, 2, 3, 4, 6, 12 and 24. What is the missing factor?
5
8
10
14
All the numbers given (along with the correct answer, 8) can be divided into 24 with the result that the answer is a whole number
2 .
Is there an easy way to work out which numbers are prime?
Yes
No
Sometimes
Only if you are a genius
Unfortunately you have to either learn the numbers or work them out
3 .
The word 'prime' is an abbreviation for what?
Primary
Primative
Priority
It is not an abbreviation
Prime is a word in its own right
4 .
Which of these numbers is a prime number?
4
7
9
12
All the incorrect answers have three or more factors
5 .
Which of these is not a prime number?
13
15
17
19
15 can be divided by 3 and 5 as well as 1 and 15
6 .
Is the number 1 a prime number?
Yes, because it is a positive whole number
No
Sometimes
Yes, because it is only divisible by itself and 1
The number 1 has only one factor - itself. Remember the rule, a prime number has TWO factors itself AND 1
7 .
Is the number 14 a prime number?
Yes
No
Yes, because it is divisible by 2
It depends which way you look at it
There are four factors of 14 - the numbers 1, 2, 7 and 14. Because there are more than two factors, it cannot be a prime number
8 .
Which of these is a prime number?
33
35
37
39
35 appears in the 5 and the 7 times tables, 33 is in the 3 and 11 times tables and 39 (which may have tricked you) is divisible by 13 and 3
9 .
What is the next prime number after 97?
98
99
100
101
1 and 101 are the only factors of 101 and therefore it is a prime number
10 .
What is the next prime number after 43?
44
45
46
47
You'd do well to memorise the first 30 or so prime numbers
You can find more about this topic by visiting BBC Bitesize - Prime numbers, factors and multiples

Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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