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1. Factors
• What is the factors?
What does the symbol “÷” and “ = ” mean?
12÷3 = 4
18÷9 = 2
15÷4 = 3R3
Review
The symbol “ ” is “ division”
The symbol “ = ” is “ division”
Therefore
12÷3 = 4
We can read that “ twelve divide
three equals four
• 18÷9 = 2
• We can read that “ eight
divide nine equals two
• What about?
15÷4 = ?
12÷3 = 4
If 12 can be divided by 3, so 3 is a factor of 12
18÷9 = 2
If 18 can be divided by 9, so 9 is a factor of 18
15÷4 = 3.75
If 15 cannot be divided by 4, so 4 is not a factor of 15
(A) Determine whether the given number is a
factor of the number in brackets.
• (a). 2 (14)
• (b). 5 (120)
• (c). 8 (124)
• (d). 12 (106)
• (e). 15 (145)
• (f). 21 (105)
(B) List the factors of a whole
number
24
2 12
2 6
2 3
List down all the factors of 24
1
24 can be divided by 2, 3, 6, 12 and 24.
So, the factors of 24 are 2, 3, 6, 12 and 24.
2. Prime factors
• (A) Prime numbers
A prime number is a
whole number that
has only two factors,
that is 1 and itself.
Example
•Determine whether the
following are prime
numbers: 4, 6, 7, 9, and
13
• 4 has three factors: 1, 2,and 4
4 prime number.
• 7 has two factors: 1 and 7
7 is a prime number
• 9 has three factors: 1, 3 and 9
9 is not a prime number
• 13 has two factors: 1 and 13
13 is a prime number
• prime numbers from 1-100have 25 numbers:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29,
31, 37, 41, 43, 47, 53, 59, 61, 67,
71, 73, 79, 83, 89 and 97
Greatest Common Divisor (GCD)
Example Find the common divisor and the greatest common factor
(GCD) of 8 and 20
factor of 8 = 1, 2, 4 and 8.
factor of 20 are 1, 2, 4, 5, 10 and 20
1, 2, 4 are the common divisors of 8 and 20
4 is the greatest common divisor of 8 and 20
Exercise 1
• Find the GCD of following pairs of number.
• 1) 2, 15……………..
• 2) 5, 10……………..
• 3) 12, 2……………..
• 4) 8, 40……………..
• 5) 6, 8………………..
Least common multiple(LCM)
• 1.) 4 and 8 LCM=
• 2.) 12 and 18 LCM=

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Math.6 chapter 3 factors

  • 1. 1. Factors • What is the factors?
  • 2. What does the symbol “÷” and “ = ” mean? 12÷3 = 4 18÷9 = 2 15÷4 = 3R3 Review
  • 3. The symbol “ ” is “ division” The symbol “ = ” is “ division” Therefore 12÷3 = 4 We can read that “ twelve divide three equals four
  • 4. • 18÷9 = 2 • We can read that “ eight divide nine equals two
  • 6. 12÷3 = 4 If 12 can be divided by 3, so 3 is a factor of 12 18÷9 = 2 If 18 can be divided by 9, so 9 is a factor of 18 15÷4 = 3.75 If 15 cannot be divided by 4, so 4 is not a factor of 15
  • 7. (A) Determine whether the given number is a factor of the number in brackets. • (a). 2 (14) • (b). 5 (120) • (c). 8 (124) • (d). 12 (106) • (e). 15 (145) • (f). 21 (105)
  • 8. (B) List the factors of a whole number
  • 9.
  • 10. 24 2 12 2 6 2 3 List down all the factors of 24 1 24 can be divided by 2, 3, 6, 12 and 24. So, the factors of 24 are 2, 3, 6, 12 and 24.
  • 11. 2. Prime factors • (A) Prime numbers A prime number is a whole number that has only two factors, that is 1 and itself.
  • 12. Example •Determine whether the following are prime numbers: 4, 6, 7, 9, and 13
  • 13. • 4 has three factors: 1, 2,and 4 4 prime number.
  • 14. • 7 has two factors: 1 and 7 7 is a prime number
  • 15. • 9 has three factors: 1, 3 and 9 9 is not a prime number
  • 16. • 13 has two factors: 1 and 13 13 is a prime number
  • 17. • prime numbers from 1-100have 25 numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97
  • 18. Greatest Common Divisor (GCD) Example Find the common divisor and the greatest common factor (GCD) of 8 and 20 factor of 8 = 1, 2, 4 and 8. factor of 20 are 1, 2, 4, 5, 10 and 20 1, 2, 4 are the common divisors of 8 and 20 4 is the greatest common divisor of 8 and 20
  • 19. Exercise 1 • Find the GCD of following pairs of number. • 1) 2, 15…………….. • 2) 5, 10…………….. • 3) 12, 2…………….. • 4) 8, 40…………….. • 5) 6, 8………………..
  • 20. Least common multiple(LCM) • 1.) 4 and 8 LCM= • 2.) 12 and 18 LCM=