Factorsprimessquare

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Factorsprimessquare

  1. 1. FactorsWhat are factors??
  2. 2. FactorsWhat are the factors of 10?Can you find a pair of numbers that multiply together to give 10?5 x 2 = 10So 5 and 2 are factors of 10.Is there another pair of numbers that multiply together to give 10?1 x 10 = 10So 1 and 10 are also factors of 10.Factors of 10 = 1,10,2,5
  3. 3. FactorsA pair of numbers that multiply together togive the target number.What are the factors of 84 x 2 = 8 1 x 8 = 8Factors of 8 = 1,8,2,4
  4. 4. FactorsA pair of numbers that multiply together togive the target number.What are the factors of 204 x 5 = 20 2 x 10 = 20Factors of 20 = 1,20,2,10,4,51 x 20 = 20
  5. 5. FactorsA pair of numbers that multiply together togive the target number.What are the factors of 7Factors of 7 = 1,71 x 7 = 7A number with factors of 1 anditself is called aPRIME NUMBER
  6. 6. FactorsCan you think of any otherPRIME NUMBERSThe First 1000 Primes
  7. 7. FactorsCan you find the other half of the pairs thatmultiply together to make 362 x ? = 36? x 36 = 366 x ? = 363 x ? = 364 x ? = 362 x 18 = 361 x 36 = 366 x 6 = 363 x 12 = 364 x 9 = 36Factors of 36 = 1,36,2,18,3,12,6,9,4Can you spot the odd pair?
  8. 8. FactorsFactors of 36 = 1,36,2,18,3,12,6,9,4The odd pair was6 x 6 = 36This pair has identical numbers.This means that36is special and is called aSQUARE NUMBER
  9. 9. Square Numbers1 2 3 4 5 6 7 8 9 1012345678910xCan we findsome moreSquare Numbers??
  10. 10. We can use this idea of factors to help us withMultiplication.4 x 2 x 30r3 x 2 x 40r4 x 3 x 2Are there any other ways of doing this?Will we get the same answer every time?
  11. 11. We can use this idea of factors to help us withMultiplication.8 x 4 x 3x 32 x 24 x 2 xWhich could be 4 x 3 x 2 x 2 x 2Which is 12 double double doublex 10 22 20 4x 20 42 40 8x 40 82 80 16
  12. 12. We can use this idea of factors to help us withMultiplication.12 x 4 x 3x 32 x 26 x 2 xWhich could be 3 x 3 x 2 x 2 x 2 x 2Which is 9 double double double double3 x 2 x 2
  13. 13. We can use this idea of factors to help us withMultiplication.17 x 126 x 2= 17 x 3 x 2 x 2x173 x 2x17 X 2= 51 x 2 x 2= 204x 10 73 30 21
  14. 14. Another way of showing this is to record the factors horizontally.26 x 6 = (13 x 2) x (3 x 2)= 13 x 3 x 2 x 2= 39 x 2 x 2= 78 x 2= 156x 10 33 30 9x 30 92 60 18x 70 82 140 16

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