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EXPLORING FACTORS

This PowerPoint is all about factors

Ayisha1225
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EXPLORING FACTORS

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  1. © Afiya Clyne 2017 presents a lesson in Proper Preparation Prevents Poor Performance

  2. factor multiple factormultiplefactor multiple factor multiple factormultiplefactor multiple factor multiple factormultiplefactor multiple factor multiple factormultiplefactor multiple factor multiple factormultiplefactor multiple factor multiple factormultiplefactor multiple

  3. FACTORS AND MULTIPLES limitless limited

  4. Knowing your time-tables with greatly help you understand FACTORS and MULTIPLES

  5. FACTORS AND MULTIPLES .FACTORS: Factors of a number are all the numbers which can divide or (go into) the given number. E.g. 1, 2 , 3 and 6 are factors of 6 because these numbers can all divide 6. MULTIPLES: Multiples are all the numbers a given number can go into. (Look at the given number and think times-tables) E.g. Multiples of 6 are 6, 12, 18, 24, 30, 36, 42 ….. ( it keeps going with no end unless a range (where to start and where to stop) is given. Range example: List the multiples of 6 between 1 and 20.

  6. F for FACTOR and F for FOUND IN A NUMBER

  7. M for MULTIPLES and M for MULTIPLICATION TABLES

  8. MULTIPLES FACTORS 14 IS A MULTIPLE OF 2 2 IS A FACTOR OF 14 4 IS A FACTOR OF 28 28 IS A MULTIPLE OF 4 5 IS A FACTOR OF 40 40 IS A MULTIPLE OF 5

  9. Factors are the numbers that you multiply together to get a product. • For example: • 28 can be written as the product of 1 x 28 or 2 x 14 or 4 x 7 4 and 7 are factors of 28 28 is a multiple of 4 and 7. This means when you say 4 or 7 times-tables, you can get 28 4x7=28

  10. Multiple of 3 3x5=15 Multiple of 5 factor of 15 factor of 15

  11. FACTORS: Another definition 1 x 12 = 12 12 x 1 = 12 2 x 6 = 12 6 x 2 = 12 3 x 4 = 12 4 x 3 = 12 Another definition of a factor is a number that you multiply to get the target or given number. This can be seen in factor pairs: What are the factors of 12: Factors of 12 are: 1 , 2, 3, 4, 6, 12 3x4 When you write all the factors, you should be able to pair them up. ( Factors are all the numbers you can multiply to get the given number. 2x6 1x12

  12. FACTORSANDMULTIPLES Factors of 4 20 9 0 14 15 19 13 1 8 2 16 17 7 12 3 10 11 4 18 5 6 Multiples of 4 12 20 8 16 0 4

  13. FACTORS AND MULTIPLES FACTORS • Factors of a number are all the numbers which can divide or (go into) a given number • The numbers that are multiplied to get a given number FACTORS OF 12: (1,2,3,4, 6,12) • They will always be fewer factors as factors have a range and stop. • They always begin with 1 and end with the number given. • Factors also give you the different pairs you can multiply to get the given number. • It’s all the numbers you can multiply together to get the given number. MULTIPLES These are the numbers you say when you skip-count/ or say your multiplication tables MULTIPLES OF 12: 12 , 24, 36, 48, 60, 72, 84, 96 ….. Etc. • Multiples never stop . • They get bigger and bigger. • There will always be a bigger multiple. • They go on and on forever. They are infinite.

  14. PAIRING OFF FACTORS What are all the numbers you can multiply together to get the given/target number? Target Number = 24 1 x 24 =24 2 x 12 = 24 3 x 8 = 24 4 x 6 = 24 1, 2, 3, 4, 6, 8, 12, 24,

  15. A Factor of a number is any amount that divides into the given number exactly, leaving no remainder. 1,2,3,4,6,8,12,24 are all factors of 24 Because they divide 24 exactly and leave no remainder

  16. FACTORS AND TIMES-TABLES Knowing your time-tables will greatly help you understand FACTORS and MULTIPLES Factors: Factors of a number are all the numbers which can divide or (go into) a given number without a remainder. It always includes 1 and the number itself. What are the factors of 8? Answer: All the numbers which can divide 8 or go into 8. 8: 1 , 2 , 4 , 8 Remember: Factors include 1 and the number itself: In this case ( 1 and 8)

  17. Factors of 8: x x x x 1 , 2 , 3 , 4 , 5 , 6, 7, 8 1 , 2, 4, 8

  18. FACTORS OF A NUMBER • Hint: Start from the lowest number and go to the highest. • Remember: Factors begin with 1 and end with the number itself. 1: 1 2: 1, 2 3: 1, 3 4: 1, 2, 4 5: 1, 5 6: 1, 2, 3, 6 7: 1, 7 8: 1 , 2 , 4 , 8 One is a special number because it only has one factor – itself- which is also 1 It seems that the number one is neither PRIME nor COMPOSITE If a number has ONLY to factors (Only 2 numbers which can divide it without lea ving a remainder) then it is a PRIME NUMBER. If the NUMBER has more than 2 factors it is a COMPOSITE NUMBER

  19. EXAMPLES Start with the number 1 and end with the number given Stay tables to get the given numbers. You can pair off the factors to check if you found all the factors of the given number • Factors of 14 = 1 ,2, 7, 14 • Factors of 12 = 1, 2, 3 , 4 , 6, 12 • Factors of 24 = 1, 2, 3, 4, 6, 8, 12 ,24 You do: Factors of 15 = Factors of 20 = Factors of 100 = Factors of 21 = Factors of 42 =

  20. ANOTHER DEFINITION FOR FACTORS • Factors are the numbers you multiply together to get a product. • For example, the product 24 has several factors. (Many ways you can multiply it to get 24) • 24 = 1 x 24 • 24 = 2 x 12 • 24 = 3 x 8 • 24 = 4 x 6 • SO, the factors are 1, 2, 3, 4, 6, 8, 12, 24

  21. Steps for Finding Factors Start with 1 x the number. • Try 2, 3, 4, etc. • When you repeat your factors, cross out the repeat - you’re done at this point. • If you get doubles (such as 4 x 4), then you’re done. Repeats or doubles let you know you’re done.

  22. What are the factors of 16? 1 x 16 2 x 8 3 x ?? 3 is not a factor, so cross it out 4 x 4 doubles = done The factors of 16 are 1,2,4,8,16

  23. What are the factors of 18? 1 x 18 2 x 9 The factors are 1,2,3,6,9,18 3 x 6 4 x ?? 4 is not a factor, so cross it out 5 x ?? 5 is not a factor, so cross it out 6 x 3 Repeat! Cross it out! We’re done!

  24. What are the factors of 7? The only factors of 7 are 1,7 1 x 7 2 x ?? 3 x ?? 4 x ?? 5 x ?? 6 x ?? 7 x 1 This works, but it is a repeat. We are done.

  25. FACTORS OF A NUMBER Remember: The factors of a number are all those numbers that can divide that number exactly. There are no remainders. Example: Start with 1 and end with the number given The factors of 4 = 1 , 2 , 4 6 = 1 , 2 , 3 , 6 10 = 1 , 2 , 5 , 10 12 = 1 , 2 , 3 , 4 , 6 , 12 14 = 1 , 2 , 7 , 14 20 = 1 , 2 , 4, 5, 10, 20

  26. FINDING FACTORS – VISUAL

  27. GROUPING 6 : What are all the numbers that can divide 6 without leaving a remainder? 2 3 6 1

  28. WHAT FACTORS MEAN What are the factors of 6? ( The numbers you use to make 6) 6 can be divided by 1 , 2, 3, 6 without leaving a remainder(exactly) Therefore: The factors of 6 (all the numbers that can go into it exactly ) are 1 , 2, 3, and 6 1 x 6 =6 2 x 3 = 6 3 x 2 = 6 6 x 1 =6

  29. VISUAL MEANING What are the factors of 10? ( The numbers you use to make 10) Answer: 1 , 2, 5 , 10 1 x 10 = 10 2 x 5 = 10 1, 2, 5 and 10

  30. VISUAL MEANING What are the factors of 8? ( The numbers you use to make 8) Answer: 1 , 2, 4 , 8 1 x 8 = 8 2 x 4 = 8 1, 2, 4 and 8

  31. VISUAL MEANING What are the factors of 12? ( The numbers you use to make 12) Answer: 1 , 2, 3, 6 , 12 1 x 12 = 12 2 x 6= 12 3 x 4 = 12 1, 2, 3 , 4, 6 and 12

  32. FINDING FACTORS What are the factors of 5? ( The numbers you use to make 5) Answer: 1 , 5 1 x 10 = 10 2 x 5 = 10 1, 2, 5 and 10

  33. Give the factors of the following numbers • 14: • 22: • 30: • 50: • 34: • 25: • 18: • 45: • 60: • 100:

  34. 1 3 2 4 6 24 12 actors 24

  35. FIND ALL OF THE FACTORS OF THE FOLLOWING NUMBER 2: 3:

  36. FIND ALL OF THE FACTORS OF THE FOLLOWING NUMBER 4: 5:

  37. FIND ALL OF THE FACTORS OF THE FOLLOWING NUMBER 6: 7:

  38. FIND ALL OF THE FACTORS OF THE FOLLOWING NUMBER 8: 9:

  39. FIND ALL OF THE FACTORS OF THE FOLLOWING NUMBER 10: 11:

  40. FIND ALL OF THE FACTORS OF THE FOLLOWING NUMBER 12: 13:

  41. FIND ALL OF THE FACTORS OF THE FOLLOWING NUMBER 14: 16:

  42. FIND ALL OF THE FACTORS OF THE FOLLOWING NUMBER 17: 18:

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