1.2 Multiples & factors
EXPLORING FACTORS
TASK 1
1
Numbers from 1 to 20
In the tables below, list the factors of all the numbers from 1 to 20 inclusive.
Number
Factors
Number
1
11
2
12
3
13
4
14
5
15
6
16
7
17
8
18
9
19
10
20
Factors
2
Which number is a factor of every number? _____________________________________
3
Describe the highest factor of any number. ______________________________________
4
Which type of number always has a factor of 2? __________________________________
5
2 × 5 (ie 10) does not have a factor of 4 but 2 × 6 (ie 12) does. Will 2 × 172 (ie 344) have
a factor of 4? Explain. ______________________________________________________
_________________________________________________________________________
6
Challenge: Most numbers have an even number of factors. List some numbers that have an
odd number of factors. What type of numbers are these?
_______________________________________________________________________________
TASK 2
Let me count the ways
In how many different ways can you share 36 apples so that each person receives the same
number of whole apples without needing to cut any apples and without having any left over?
___________________________________________________________________________
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Chapter 1 Reviewing number concepts