10
Factors, powers
and standard form
Objectives
This chapter is about multiples,
factors, powers, roots and standard
This chapter will show you how to
form.
• fi nd multiples and factors
E
• recognise and use prime numbers
E
In the Chinese calendar two
• recall the cubes of 2, 3, 4, 5 and 10
E
separate cycles interact. There
• use the terms positive and negative square root
D
are 10 heavenly stems and
• calculate common factors, highest common factors
12 zodiac animals. You
and lowest common multiples
C
can use lowest common
• write a number as a product of prime factors
C
multiples to work out
• use index laws for multiplication and division of
when a certain year will
integer powers
C
B
come round again.
• write numbers in standard index form
B
• calculate using standard index form
B
Before you start this chapter
Put your calculator away!
1
Which of the numbers in the cloud are divisible by
2
Work out
a
a
b
6
6
2
(21)
2
56
b
c
d
9
(29)
2
11
2
24
42
c
7
3
Work out
63
88
d
4
54
a
b
22 3 100
0.46 3 1000
25
17
30
c
d
22.8 4 10
17 4 1000