Worksheet Class 4 Factors and Multiples | PDF - Free Printable
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Step-by-step solution for: Worksheet Class 4 Factors and Multiples | PDF
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Show Answer Key & Explanations
Step-by-step solution for: Worksheet Class 4 Factors and Multiples | PDF
Let’s solve this step by step.
We have two parts:
Part 1: List the first 5 multiples of each number.
Multiples are what you get when you multiply the number by 1, 2, 3, 4, 5...
Example given:
3 → 3×1=3, 3×2=6, 3×3=9, 3×4=12, 3×5=15 → so: 3, 6, 9, 12, 15
Now let’s do each one:
i. 12 → 12×1=12, 12×2=24, 12×3=36, 12×4=48, 12×5=60 → 12, 24, 36, 48, 60
ii. 8 → 8×1=8, 8×2=16, 8×3=24, 8×4=32, 8×5=40 → 8, 16, 24, 32, 40
iii. 24 → 24×1=24, 24×2=48, 24×3=72, 24×4=96, 24×5=120 → 24, 48, 72, 96, 120
iv. 32 → 32×1=32, 32×2=64, 32×3=96, 32×4=128, 32×5=160 → 32, 64, 96, 128, 160
v. 14 → 14×1=14, 14×2=28, 14×3=42, 14×4=56, 14×5=70 → 14, 28, 42, 56, 70
vi. 26 → 26×1=26, 26×2=52, 26×3=78, 26×4=104, 26×5=130 → 26, 52, 78, 104, 130
vii. 10 → 10×1=10, 10×2=20, 10×3=30, 10×4=40, 10×5=50 → 10, 20, 30, 40, 50
viii. 22 → 22×1=22, 22×2=44, 22×3=66, 22×4=88, 22×5=110 → 22, 44, 66, 88, 110
ix. 15 → 15×1=15, 15×2=30, 15×3=45, 15×4=60, 15×5=75 → 15, 30, 45, 60, 75
x. 50 → 50×1=50, 50×2=100, 50×3=150, 50×4=200, 50×5=250 → 50, 100, 150, 200, 250
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Part 2: List all factors of each number.
Factors are numbers that divide evenly into the given number (no remainder).
Start from 1 and go up to the number itself — but we can stop once we pass the square root or find pairs.
i. 46 → already given: 1, 2, 23, 46 → because 1×46=46, 2×23=46 → 1, 2, 23, 46
ii. 44 → 1×44, 2×22, 4×11 → so factors: 1, 2, 4, 11, 22, 44
iii. 28 → 1×28, 2×14, 4×7 → 1, 2, 4, 7, 14, 28
iv. 38 → 1×38, 2×19 → 1, 2, 19, 38
v. 50 → 1×50, 2×25, 5×10 → 1, 2, 5, 10, 25, 50
vi. 48 → 1×48, 2×24, 3×16, 4×12, 6×8 → 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
vii. 6 → 1×6, 2×3 → 1, 2, 3, 6
viii. 18 → 1×18, 2×9, 3×6 → 1, 2, 3, 6, 9, 18
ix. 78 → 1×78, 2×39, 3×26, 6×13 → 1, 2, 3, 6, 13, 26, 39, 78
x. 98 → 1×98, 2×49, 7×14 → 1, 2, 7, 14, 49, 98
xi. 150 → Let’s list factor pairs:
1×150, 2×75, 3×50, 5×30, 6×25, 10×15 → So factors:
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
xii. 200 → Factor pairs:
1×200, 2×100, 4×50, 5×40, 8×25, 10×20 → Also check if any missing?
Wait — 200 ÷ 10 = 20, 200 ÷ 8 = 25, 200 ÷ 5 = 40, 200 ÷ 4 = 50, 200 ÷ 2 = 100, 200 ÷ 1 = 200
Also 200 ÷ 20 = 10 (already have), 200 ÷ 25 = 8 (have)
What about 200 ÷ 16? No, not whole. 200 ÷ 12? No.
So full list: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Wait — did I miss 200 ÷ 20 = 10 → already included.
Actually, let me write in order:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 → yes, that’s 12 factors.
xiii. 196 → This is 14² → so factors:
1×196, 2×98, 4×49, 7×28, 14×14 → so unique factors:
1, 2, 4, 7, 14, 28, 49, 98, 196
xiv. 81 → 9² → 1×81, 3×27, 9×9 → so factors:
1, 3, 9, 27, 81
Double-checking a few:
- 48: 1,2,3,4,6,8,12,16,24,48 → correct
- 150: 1,2,3,5,6,10,15,25,30,50,75,150 → correct
- 200: 1,2,4,5,8,10,20,25,40,50,100,200 → correct
- 196: 1,2,4,7,14,28,49,98,196 → correct
- 81: 1,3,9,27,81 → correct
All done!
Final Answer:
First 5 multiples:
i. 12 = 12, 24, 36, 48, 60
ii. 8 = 8, 16, 24, 32, 40
iii. 24 = 24, 48, 72, 96, 120
iv. 32 = 32, 64, 96, 128, 160
v. 14 = 14, 28, 42, 56, 70
vi. 26 = 26, 52, 78, 104, 130
vii. 10 = 10, 20, 30, 40, 50
viii. 22 = 22, 44, 66, 88, 110
ix. 15 = 15, 30, 45, 60, 75
x. 50 = 50, 100, 150, 200, 250
All factors:
i. 46 = 1, 2, 23, 46
ii. 44 = 1, 2, 4, 11, 22, 44
iii. 28 = 1, 2, 4, 7, 14, 28
iv. 38 = 1, 2, 19, 38
v. 50 = 1, 2, 5, 10, 25, 50
vi. 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
vii. 6 = 1, 2, 3, 6
viii. 18 = 1, 2, 3, 6, 9, 18
ix. 78 = 1, 2, 3, 6, 13, 26, 39, 78
x. 98 = 1, 2, 7, 14, 49, 98
xi. 150 = 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
xii. 200 = 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
xiii. 196 = 1, 2, 4, 7, 14, 28, 49, 98, 196
xiv. 81 = 1, 3, 9, 27, 81
We have two parts:
Part 1: List the first 5 multiples of each number.
Multiples are what you get when you multiply the number by 1, 2, 3, 4, 5...
Example given:
3 → 3×1=3, 3×2=6, 3×3=9, 3×4=12, 3×5=15 → so: 3, 6, 9, 12, 15
Now let’s do each one:
i. 12 → 12×1=12, 12×2=24, 12×3=36, 12×4=48, 12×5=60 → 12, 24, 36, 48, 60
ii. 8 → 8×1=8, 8×2=16, 8×3=24, 8×4=32, 8×5=40 → 8, 16, 24, 32, 40
iii. 24 → 24×1=24, 24×2=48, 24×3=72, 24×4=96, 24×5=120 → 24, 48, 72, 96, 120
iv. 32 → 32×1=32, 32×2=64, 32×3=96, 32×4=128, 32×5=160 → 32, 64, 96, 128, 160
v. 14 → 14×1=14, 14×2=28, 14×3=42, 14×4=56, 14×5=70 → 14, 28, 42, 56, 70
vi. 26 → 26×1=26, 26×2=52, 26×3=78, 26×4=104, 26×5=130 → 26, 52, 78, 104, 130
vii. 10 → 10×1=10, 10×2=20, 10×3=30, 10×4=40, 10×5=50 → 10, 20, 30, 40, 50
viii. 22 → 22×1=22, 22×2=44, 22×3=66, 22×4=88, 22×5=110 → 22, 44, 66, 88, 110
ix. 15 → 15×1=15, 15×2=30, 15×3=45, 15×4=60, 15×5=75 → 15, 30, 45, 60, 75
x. 50 → 50×1=50, 50×2=100, 50×3=150, 50×4=200, 50×5=250 → 50, 100, 150, 200, 250
---
Part 2: List all factors of each number.
Factors are numbers that divide evenly into the given number (no remainder).
Start from 1 and go up to the number itself — but we can stop once we pass the square root or find pairs.
i. 46 → already given: 1, 2, 23, 46 → because 1×46=46, 2×23=46 → 1, 2, 23, 46
ii. 44 → 1×44, 2×22, 4×11 → so factors: 1, 2, 4, 11, 22, 44
iii. 28 → 1×28, 2×14, 4×7 → 1, 2, 4, 7, 14, 28
iv. 38 → 1×38, 2×19 → 1, 2, 19, 38
v. 50 → 1×50, 2×25, 5×10 → 1, 2, 5, 10, 25, 50
vi. 48 → 1×48, 2×24, 3×16, 4×12, 6×8 → 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
vii. 6 → 1×6, 2×3 → 1, 2, 3, 6
viii. 18 → 1×18, 2×9, 3×6 → 1, 2, 3, 6, 9, 18
ix. 78 → 1×78, 2×39, 3×26, 6×13 → 1, 2, 3, 6, 13, 26, 39, 78
x. 98 → 1×98, 2×49, 7×14 → 1, 2, 7, 14, 49, 98
xi. 150 → Let’s list factor pairs:
1×150, 2×75, 3×50, 5×30, 6×25, 10×15 → So factors:
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
xii. 200 → Factor pairs:
1×200, 2×100, 4×50, 5×40, 8×25, 10×20 → Also check if any missing?
Wait — 200 ÷ 10 = 20, 200 ÷ 8 = 25, 200 ÷ 5 = 40, 200 ÷ 4 = 50, 200 ÷ 2 = 100, 200 ÷ 1 = 200
Also 200 ÷ 20 = 10 (already have), 200 ÷ 25 = 8 (have)
What about 200 ÷ 16? No, not whole. 200 ÷ 12? No.
So full list: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Wait — did I miss 200 ÷ 20 = 10 → already included.
Actually, let me write in order:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 → yes, that’s 12 factors.
xiii. 196 → This is 14² → so factors:
1×196, 2×98, 4×49, 7×28, 14×14 → so unique factors:
1, 2, 4, 7, 14, 28, 49, 98, 196
xiv. 81 → 9² → 1×81, 3×27, 9×9 → so factors:
1, 3, 9, 27, 81
Double-checking a few:
- 48: 1,2,3,4,6,8,12,16,24,48 → correct
- 150: 1,2,3,5,6,10,15,25,30,50,75,150 → correct
- 200: 1,2,4,5,8,10,20,25,40,50,100,200 → correct
- 196: 1,2,4,7,14,28,49,98,196 → correct
- 81: 1,3,9,27,81 → correct
All done!
Final Answer:
First 5 multiples:
i. 12 = 12, 24, 36, 48, 60
ii. 8 = 8, 16, 24, 32, 40
iii. 24 = 24, 48, 72, 96, 120
iv. 32 = 32, 64, 96, 128, 160
v. 14 = 14, 28, 42, 56, 70
vi. 26 = 26, 52, 78, 104, 130
vii. 10 = 10, 20, 30, 40, 50
viii. 22 = 22, 44, 66, 88, 110
ix. 15 = 15, 30, 45, 60, 75
x. 50 = 50, 100, 150, 200, 250
All factors:
i. 46 = 1, 2, 23, 46
ii. 44 = 1, 2, 4, 11, 22, 44
iii. 28 = 1, 2, 4, 7, 14, 28
iv. 38 = 1, 2, 19, 38
v. 50 = 1, 2, 5, 10, 25, 50
vi. 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
vii. 6 = 1, 2, 3, 6
viii. 18 = 1, 2, 3, 6, 9, 18
ix. 78 = 1, 2, 3, 6, 13, 26, 39, 78
x. 98 = 1, 2, 7, 14, 49, 98
xi. 150 = 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
xii. 200 = 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
xiii. 196 = 1, 2, 4, 7, 14, 28, 49, 98, 196
xiv. 81 = 1, 3, 9, 27, 81
Parent Tip: Review the logic above to help your child master the concept of math worksheet for factors and multiples.