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RESOURCE MASTER 51 RESOURCE MASTER 53 RESOURCE MASTER 55
rn rn
a 1 500 + 1 O = 1 50

b 13·6 + 10 = 1 ·36
Number Factors Number Number Factors Number Possible solutions:
of factors of factors
c 70·7 + 10 = 7·07 2 3 4 5 _6__ 8
1 1 1 11 1, 11 2 a 4, Ef, 8, 1Q, 12, 16
d 103 + 10 = 10·3 2 1, 2 2 12 1 ' 2, 3, 4, 6, 12 6 2__3__&_-5.___6._J_
3 1, 3 2 13 1, 13 2 b 5, q, 12, 15, 18,21
4 1, 2, 4 3 14 1, 2, 7, 14 4 2- _3_ __&__ -5... _6__ L
e 1 200 + 1 00 = 1 2 5 1, 5 2 15 1, 3, 5, 15 4 c 8 ' 12 ' 16 ' 20 ' 24 ' 28
6 1, 2, 3, 6 4 16 1, 2, 4, 8, 16 5 2- _3_ __&__ -5... _6__ L
f 35300 + 100 = 353 7 1, 7 2 17 1, 17 2 d I 0 ' I 5 ' 20 ' 25 ' 30 ' 35
8 1, 2, 4, 8 4 18 1, 2, 3, 6, q, 18 6 2- _3_ __&__ -5... _6__ L
g 360 + 100 = 3·60 q 1, 3, q 3 1q 1, 1q 2 e 12 , 18 , 24 , 30 , 36, 42
10 I, 2, 5, JO 4 20 I, 2, 4, 5, I 0, 20 6 2- _3_ __&__ -5... _6__ L
h 1 21 + 1 00 = 1 . 21 f I 6 ' 24 ' 32 ' 40 ' 48 ' 56

4000 + 1000 = 4
j 26 000 + 1 000 = 26 I -- ±-~1 Open: generate own equivalent fractions.
~I -
6 - e- i ---+- 1
k 5700 + 1000 = 5·7 Number 5 - - ---------+---- r------ -..-
of foctors - 4 -r---+ --, ------4
I 2040 + 1 000 = 2·04 --3- - -
· · · : l ,.~~~~~~~,,~~Cl
- H-- ~ RESOURCE MASTER 56

Number rn
Possible solutions:
4 6 lQ 12
a 6, Cf, 15, 18
No, because we are counting factors of whole numbers, not _Q_ !L 12 18
mixed numbers. b 8 ' 12 ' 16 ' 24
__&__ _6__ _a lQ
C I 0 ' 15 ' 21 ' 25
lQ ~ 2..Q 2.5.
d 12 ' 18 ' 24 ' 30
They all have two factors. _6__ !L 12 ~
e 16 , 24 , 32 ' 40
18 27 3.6 ~
f 20 ' 30 ' 40 ' 50

No, there isn't a set pattern to the number of factors.

Open: generate own equivalent fractions.