Best Factors and Multiples Worksheet For Class 4 - Free Printable

Let's solve each question step by step with clear explanations.

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1. Write the first five multiples of the following.

a. 4
Multiples are obtained by multiplying the number by 1, 2, 3, 4, 5, etc.
So:
- 4 × 1 = 4
- 4 × 2 = 8
- 4 × 3 = 12
- 4 × 4 = 16
- 4 × 5 = 20

✔ Answer: 4, 8, 12, 16, 20

b. 11
- 11 × 1 = 11
- 11 × 2 = 22
- 11 × 3 = 33
- 11 × 4 = 44
- 11 × 5 = 55

✔ Answer: 11, 22, 33, 44, 55

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2. Answer the following in Yes or No.

a. Is 112 a multiple of 4?
To check if a number is a multiple of 4, divide it by 4:
112 ÷ 4 = 28 → no remainder
✔ Answer: Yes

b. Is 1586 a multiple of 15?
Divide 1586 by 15:
1586 ÷ 15 = 105.733... → not a whole number
Or: 15 × 105 = 1575, 15 × 106 = 1590 → 1586 is between them and not divisible
✔ Answer: No

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3. Find four common multiples of the following.

Common multiples are numbers that are multiples of both given numbers.

a. 4 and 5
List multiples:
- Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
- Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
Common ones: 20, 40, 60, 80

✔ Answer: 20, 40, 60, 80

b. 3 and 6
- Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
- Multiples of 6: 6, 12, 18, 24, 30, 36, ...
Common: 6, 12, 18, 24

✔ Answer: 6, 12, 18, 24

c. 5 and 10
- Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, ...
- Multiples of 10: 10, 20, 30, 40, 50, ...
Common: 10, 20, 30, 40

✔ Answer: 10, 20, 30, 40

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4. Find the LCM of the following.

LCM (Least Common Multiple) is the smallest number that is a multiple of both.

a. 6 and 8
List multiples:
- 6: 6, 12, 18, 24, 30, ...
- 8: 8, 16, 24, 32, ...
First common: 24

✔ Answer: 24

b. 5 and 7
- 5: 5, 10, 15, 20, 25, 30, 35, ...
- 7: 7, 14, 21, 28, 35, ...
First common: 35

✔ Answer: 35

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5. Find the factors of the following number using multiplication method.

a. 25
We find pairs of numbers that multiply to give 25:

- 1 × 25 = 25
- 5 × 5 = 25
- (No other whole number pairs)

So factors are: 1, 5, 25

✔ Answer: 1, 5, 25

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6. Find the factors of the following number using division method.

a. 72
We divide 72 by numbers starting from 1 up to √72 (~8.5), and check which divide evenly.

- 72 ÷ 1 = 72 → factor pair: 1, 72
- 72 ÷ 2 = 36 → 2, 36
- 72 ÷ 3 = 24 → 3, 24
- 72 ÷ 4 = 18 → 4, 18
- 72 ÷ 6 = 12 → 6, 12
- 72 ÷ 8 = 9 → 8, 9
- 72 ÷ 9 = 8 → already listed
- Stop here since we’ve passed √72

All factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

✔ Answer: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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7. Find the HCF of the following.

HCF (Highest Common Factor) is the largest number that divides both numbers.

a. 8 and 12
Find factors of each:

- Factors of 8: 1, 2, 4, 8
- Factors of 12: 1, 2, 3, 4, 6, 12
Common factors: 1, 2, 4
Highest: 4

✔ Answer: 4

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✔ Final Answers Summary:

#### 1.
a. 4, 8, 12, 16, 20
b. 11, 22, 33, 44, 55

#### 2.
a. Yes
b. No

#### 3.
a. 20, 40, 60, 80
b. 6, 12, 18, 24
c. 10, 20, 30, 40

#### 4.
a. 24
b. 35

#### 5.
a. 1, 5, 25

#### 6.
a. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

#### 7.
a. 4

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