Warm up…

Factor Patterns

Learning Objective: To investigate the factors of a number

Success Criteria:To be able to identify the factors of a numberTo 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

Factors of 10

Factors of 25

1 2 3 4 5 6

1 2 3 4 5 6 7 8 9 10

1 2 3 4 5 6 7 8 9 101

112

13

14

15

16

17

18

19

2021

22 23 24 25

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 FactorsHow many

Factors?1 1 12 1, 2 23 1, 3 24 1, 2, 4 3………25 1, 5, 25 3

Factor Patterns

31, 5, 252581, 2, 3, 4, 6, 8,

12, 242421, 232341, 2, 11, 222241, 3, 7, 212161, 2, 4, 5, 10, 202021, 191961, 2, 3, 6, 9, 181821, 171751, 2, 4, 8, 161641, 3, 5, 151541, 2, 7, 1414

How many Factors?FactorsNumber

21, 131361, 2, 3, 4, 6, 121221, 111141, 2, 5, 101031, 3, 9941, 2, 4, 8821, 7741, 2, 3, 6621, 5531, 2, 4421, 3321, 22111

How many Factors?FactorsNumber

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…)