2. Warm up…

3. 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

4. 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  123456 12345678910 123456789 11121314151617181920 2122232425

5. 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? NumberFactors How many Factors? 111 21, 22 31, 32 41, 2, 43 … … … 251, 5, 253

6. Factor Patterns 31, 5, 2525 8 1, 2, 3, 4, 6, 8, 12, 24 24 21, 2323 41, 2, 11, 2222 41, 3, 7, 2121 6 1, 2, 4, 5, 10, 20 20 21, 1919 6 1, 2, 3, 6, 9, 18 18 21, 1717 51, 2, 4, 8, 1616 41, 3, 5, 1515 41, 2, 7, 1414 How many Factors? FactorsNumber 21, 1313 6 1, 2, 3, 4, 6, 12 12 21, 1111 41, 2, 5, 1010 31, 3, 99 41, 2, 4, 88 21, 77 4 1, 2, 3, 66 21, 55 31, 2, 44 21, 33 21, 22 111 How many Factors? FactorsNumber

7. 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…)