Question

name:___________________________ factors and multiples intro hw
directions: complete the factor rainbow by filling in each line from cloud to cloud, writing each factor in the cloud. then, list the factor pairs.
40
factor pairs:
60
factor pairs:

Explanation:

Step1: Find factors of 40

Test divisibility from 1 upwards:
$40 \div 1 = 40$, $40 \div 2 = 20$, $40 \div 4 = 10$, $40 \div 5 = 8$
Factors of 40: $1, 2, 4, 5, 8, 10, 20, 40$

Step2: Pair factors of 40

Match factors that multiply to 40:
$(1, 40)$, $(2, 20)$, $(4, 10)$, $(5, 8)$

Step3: Find factors of 60

Test divisibility from 1 upwards:
$60 \div 1 = 60$, $60 \div 2 = 30$, $60 \div 3 = 20$, $60 \div 4 = 15$, $60 \div 5 = 12$, $60 \div 6 = 10$
Factors of 60: $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60$

Step4: Pair factors of 60

Match factors that multiply to 60:
$(1, 60)$, $(2, 30)$, $(3, 20)$, $(4, 15)$, $(5, 12)$, $(6, 10)$

Answer:

For 40 (clouds, left to right):

Left cloud: $1, 2, 4, 5$
Right cloud: $8, 10, 20, 40$
Factor Pairs: $(1, 40)$, $(2, 20)$, $(4, 10)$, $(5, 8)$

For 60 (clouds, left to right):

Left cloud: $1, 2, 3, 4, 5, 6$
Right cloud: $10, 12, 15, 20, 30, 60$
Factor Pairs: $(1, 60)$, $(2, 30)$, $(3, 20)$, $(4, 15)$, $(5, 12)$, $(6, 10)$