Transcript Factor Patterns

Warm up…
Factor Patterns
Learning Objective:
To investigate the factors of a number
Success Criteria:
 To be able to identify the factors of a number
 To identify the type of number by identifying the number of factors it has
Factor Patterns
• What is a Factor?
A Factor of a number is a number that divides into
ANOTHER number without a REMAINDER.
Factors of 6  1
2
3
4
5
6
Factors of 10  1
2
3
4
5
6
7
8
9
10
Factors of 25  1
2
12
22
3
13
23
4
14
24
5
15
25
6
16
7
17
8
18
9
19
10
20
11
21
Factor Patterns
• Draw a table like the one to
the right. It will need 26
rows, including the headings
at the top.
• Fill in the middle and right
columns. Make sure you
check your answers
• If you finish…
– Which numbers have 2
factors?
– Which numbers have an odd
number of factors? Why?
Number
Factors
How many
Factors?
1
1
1
2
1, 2
2
3
1, 3
2
4
1, 2, 4
3
1, 5, 25
3
…
…
…
25
Factor Patterns
Number
Factors
How many
Factors?
Number
Factors
How many
Factors?
1
1
1
14
1, 2, 7, 14
4
2
1, 2
2
15
1, 3, 5, 15
4
3
1, 3
2
16
1, 2, 4, 8, 16
5
4
1, 2, 4
3
17
1, 17
2
5
1, 5
2
18
1, 2, 3, 6, 9, 18
6
6
1, 2, 3, 6
4
19
1, 19
2
7
1, 7
2
20
1, 2, 4, 5, 10, 20
6
8
1, 2, 4, 8
4
21
1, 3, 7, 21
4
9
1, 3, 9
3
22
1, 2, 11, 22
4
10
1, 2, 5, 10
4
23
1, 23
2
11
1, 11
2
12
1, 2, 3, 4, 6, 8,
12, 24
8
1, 2, 3, 4, 6, 12
6
24
13
1, 13
2
25
1, 5, 25
3
Factor Patterns
• Numbers with 2 Factors only
– 2, 3, 5, 7, 11, 13, 17, 19, 23
– What types of number are these?
– Prime numbers (The only numbers that divide into
them are 1 and themselves)
• Numbers with an odd number of Factors
– 1, 4, 9, 16, 25
– What types of number are these?
– Square numbers (you can make by multiplying the
same number together  1x1, 2x2, 3x3 etc…)