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ROUTINE & NON-ROUTINE
PROBLEMS INVOLVING
FACTOR, MULTIPLES,
DIVISIBILITY RULES
STEPS IN SOLVING ROUTINE
PROBLEM
STEPS IN SOLVING ROUTINE
PROBLEM
STEPS IN SOLVING ROUTINE
PROBLEM
Words to Remember
what we can multiply to get the number
4 x 3 = 12, so 4 and 3
Words to Remember
what we can multiply to get the number
7 x 5 = 35, so 7 and 5
Words to Remember
Are what we can get after
multiplying the number by
another number
5 x 1 = 5, so 5 is a
Words to Remember
Are what we can get after
multiplying the number by
another number
5 x 2 = 10, so 10 is a
Words to Remember
Are what we can get after
multiplying the number by
another number
5, 10, 15, 20, 25 and so
Read the Problem
A farmer gathered 108
mangoes, if he will
distribute those 108
mangoes in the baskets,
how many ways can he
In how many ways can he
distribute when each basket has
the same number of mangoes?
108 mangoes, each basket has
Facto
ring
Finding the
multiples
Using the
54 X
2
36 X
3
27 X
18 X
6
12 X
9
2 X
54
3 X
4 X
27
6 X
18
9 X
2, 4, 6,
8… 108
3, 6, 9,
12…
108
4, 8, 12,
16… 108
6, 12, 18,
9, 18, 27,
36,… 108
9, 18, 27,
36,… 108
12, 24,
36,… 108
18, 36,
54,… 108
27, 54,
81,… 108
36, 72,
54,
108
2 3 4 6 9 12 18 27 36 54
There are 10 ways
the farmer can
distribute 108
Read the Problem
Teacher Rye’s age is
greater than 40 but less
than 50. his age is
divisible by 2, 4, 6, 8 and
The age of Teacher Rye
Age is greater than 40
Age is less than 50
Age is divisible by 2, 4, 6, 8 and
Teacher Rye’s age is greater
than 40 but less than 50. his
age is divisible by 2, 4, 6, 8
and 12. how old is Teacher
Rye?
We will use listing method
and elimination
Teacher Rye’s age is greater
than 40 but less than 50. his
age is divisible by 2, 4, 6, 8
and 12. how old is Teacher
Rye?
Teacher Rye’s age is greater
than 40 but less than 50. his
age is divisible by 2, 4, 6, 8
and 12. how old is Teacher
Rye?
2
4
6
8
12
41, 42, 43, 44, 45, 46,
47, 48, 49,
41, 42, 43, 44, 45, 46,
47, 48, 49,
41, 42, 43, 44, 45, 46,
47, 48, 49,
41, 42, 43, 44, 45, 46,
47, 48, 49,
41, 42, 43, 44, 45, 46,
47, 48, 49,
48 is divisible by 2
48 is divisible by 4
48 is divisible by 6
48 is divisible by 8
48 is divisible by 12

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Routine non-routine-problems-involving-factor-multiples

  • 1. ROUTINE & NON-ROUTINE PROBLEMS INVOLVING FACTOR, MULTIPLES, DIVISIBILITY RULES
  • 2. STEPS IN SOLVING ROUTINE PROBLEM
  • 3. STEPS IN SOLVING ROUTINE PROBLEM
  • 4. STEPS IN SOLVING ROUTINE PROBLEM
  • 5. Words to Remember what we can multiply to get the number 4 x 3 = 12, so 4 and 3
  • 6. Words to Remember what we can multiply to get the number 7 x 5 = 35, so 7 and 5
  • 7. Words to Remember Are what we can get after multiplying the number by another number 5 x 1 = 5, so 5 is a
  • 8. Words to Remember Are what we can get after multiplying the number by another number 5 x 2 = 10, so 10 is a
  • 9. Words to Remember Are what we can get after multiplying the number by another number 5, 10, 15, 20, 25 and so
  • 10. Read the Problem A farmer gathered 108 mangoes, if he will distribute those 108 mangoes in the baskets, how many ways can he
  • 11. In how many ways can he distribute when each basket has the same number of mangoes? 108 mangoes, each basket has
  • 13. 54 X 2 36 X 3 27 X 18 X 6 12 X 9 2 X 54 3 X 4 X 27 6 X 18 9 X
  • 14. 2, 4, 6, 8… 108 3, 6, 9, 12… 108 4, 8, 12, 16… 108 6, 12, 18, 9, 18, 27, 36,… 108 9, 18, 27, 36,… 108 12, 24, 36,… 108 18, 36, 54,… 108 27, 54, 81,… 108 36, 72, 54, 108
  • 15. 2 3 4 6 9 12 18 27 36 54
  • 16. There are 10 ways the farmer can distribute 108
  • 17. Read the Problem Teacher Rye’s age is greater than 40 but less than 50. his age is divisible by 2, 4, 6, 8 and
  • 18. The age of Teacher Rye Age is greater than 40 Age is less than 50 Age is divisible by 2, 4, 6, 8 and Teacher Rye’s age is greater than 40 but less than 50. his age is divisible by 2, 4, 6, 8 and 12. how old is Teacher Rye?
  • 19. We will use listing method and elimination Teacher Rye’s age is greater than 40 but less than 50. his age is divisible by 2, 4, 6, 8 and 12. how old is Teacher Rye?
  • 20. Teacher Rye’s age is greater than 40 but less than 50. his age is divisible by 2, 4, 6, 8 and 12. how old is Teacher Rye? 2 4 6 8 12 41, 42, 43, 44, 45, 46, 47, 48, 49, 41, 42, 43, 44, 45, 46, 47, 48, 49, 41, 42, 43, 44, 45, 46, 47, 48, 49, 41, 42, 43, 44, 45, 46, 47, 48, 49, 41, 42, 43, 44, 45, 46, 47, 48, 49,
  • 21. 48 is divisible by 2 48 is divisible by 4 48 is divisible by 6 48 is divisible by 8 48 is divisible by 12