Factors, Powers And Standard Form Worksheet Page 4
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21C
5
Carla and Guy have each got the same number of CDs.
Carla has arranged her CDs into 8 equal piles.
Guy has arranged his CDs into 12 equal piles.
What is the smallest number of CDs they could each have?
6
Fred is building a wall. He uses red bricks which are 12 cm long and yellow bricks
which are 14 cm long. The bricks must line up at the start and end of the wall.
12 cm
14 cm
2
AO
Work out the shortest length of wall that Fred could build.
10.2
Factors and primes
Keywords
factor, prime number,
Why learn this
Objectives
prime factor, highest
Banks use prime
E
Solve problems involving factors
common factor (HCF),
numbers to encrypt
common factor,
Recognise two-digit prime numbers
E
their websites and
C
Find highest common factors
prevent fraud.
Skills check
Skills check
1 Copy and complete these.
a 4 3
b
5 24
3 8 5 56
c 12 3
d
5 84
3 7 5 91
2 Write down six different numbers that are divisible by 20.
Factors
A factor of a number is a whole number that divides into it exactly.
The factors of a number always include 1 and the number itself.
The factors of 6 are 1, 2, 3 and 6.
Factor pairs of 6:
Factors come in pairs. You can use factor pairs to help you fi nd factors.
1 6 6
2 3 6
Example 3
E
Write down all the factors of 20.
1 3 20 5 20
Use factor pairs to help you fi nd all the factors.
2 3 10 5 20
You have to include 1 and 20 in your list of factors.
4 3 5 5 20
The factors of 20 are 1, 2, 4, 5, 10 and 20.
10.2 Factors and primes
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