Prime Numbers, LCM, HCF

Contributed by:
Cambridge Online Tuition
1 can be divided by 1 and the number itself, which is also 1, so 1 is a prime number. However, modern mathematicians define a number as prime if it is divided by exactly two numbers.
1. Factors, Multiples and Prime Numbers
I can identify common factors, common multiples and prime numbers.
1) a) What is the highest common factor of 24 and 36?
b) What is the highest common factor of 21 and 54?
c) What is the highest common factor of 19 and 48?
2) Work out the lowest common multiple of each pair of linked numbers.
2 and 6
2 6
6 and 10
6 and 12
2 and 10
10 and 12
12 10
2 and 12
Which pairs of numbers have the same lowest common multiple?

3) Oh no! The maths machine has broken!
Can you help identify the prime numbers by circling the correct balls?
45 59 32 21
134 121 85 73
53 147 163 171
Maths | Year 6 | Addition, Subtraction, Multiplication and Division | Common Factors, Multiples and Prime Numbers |
Home Learning Task: Factors, Multiples and Prime Numbers
2. Factors, Multiples and Prime Numbers Answers
Question Answer
1.
a) What is the highest common factor of 24 and 36? 12
b) What is the highest common factor of 21 and 54? 3
c) What is the highest common factor of 19 and 48? 1
2. Work out the lowest common multiple of each pair of linked numbers.
2 and 6 6 2 and 10 10
6 and 10 30 10 and 12 60
6 and 12 12 2 and 12 12
Which pairs of numbers have the same lowest common multiple? 6 and 12, 2 and 12
Oh no! The maths machine has broken!
3.
Can you help identify the prime numbers by circling the correct balls?
45 59 32 21
134 121 85 73
53 147 163 171
Maths | Year 6 | Addition, Subtraction, Multiplication and Division | Common Factors, Multiples and Prime Numbers |
Home Learning Task: Factors, Multiples and Prime Numbers
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