Factors and multiples worksheet - Free Printable

Let's solve each part of this Grade 4 Factors and Multiples worksheet step by step.

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1. DRAG AND DROP THE CORRECT ANSWERS

We are given the numbers:
4, 45, 5, 1, 10

Now let’s solve each part:

#### A. First two multiples of 5 – ________ and ________

Multiples of 5:
5 × 1 = 5
5 × 2 = 10
So, first two multiples of 5 are: 5 and 10

✔ Answer: 5 and 10

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#### B. The smallest odd multiple of 9 between 36 and 81 is ________

First, list multiples of 9:
- 9, 18, 27, 36, 45, 54, 63, 72, 81

Now, pick those between 36 and 81 (not including 36 and 81):
- 45, 54, 63, 72

Now find odd ones:
- 45 → odd ✔
- 54 → even ✘
- 63 → odd ✔
- 72 → even ✘

Smallest odd one: 45

✔ Answer: 45

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#### C. ________ is a factor of all the numbers.

Every number is divisible by 1. So, 1 is a factor of all numbers.

✔ Answer: 1

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#### D. ________ × 4 = 16

We need to find a number that when multiplied by 4 gives 16.

16 ÷ 4 = 4

So, 4 × 4 = 16

✔ Answer: 4

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✔ Summary for Part 1:

- A: 5 and 10
- B: 45
- C: 1
- D: 4

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2. List all factors of the following numbers

> Factors are numbers that divide evenly into the given number.

#### a. 24

Find all numbers that divide 24:

- 1 × 24 = 24 → 1, 24
- 2 × 12 = 24 → 2, 12
- 3 × 8 = 24 → 3, 8
- 4 × 6 = 24 → 4, 6

So, factors of 24:
1, 2, 3, 4, 6, 8, 12, 24

✔ Answer: 1, 2, 3, 4, 6, 8, 12, 24

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#### b. 42

Find pairs:

- 1 × 42 = 42 → 1, 42
- 2 × 21 = 42 → 2, 21
- 3 × 14 = 42 → 3, 14
- 6 × 7 = 42 → 6, 7

So, factors of 42:
1, 2, 3, 6, 7, 14, 21, 42

✔ Answer: 1, 2, 3, 6, 7, 14, 21, 42

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#### c. 6

- 1 × 6 = 6 → 1, 6
- 2 × 3 = 6 → 2, 3

So, factors of 6:
1, 2, 3, 6

✔ Answer: 1, 2, 3, 6

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✔ Summary for Part 2:

- a. 24 = 1, 2, 3, 4, 6, 8, 12, 24
- b. 42 = 1, 2, 3, 6, 7, 14, 21, 42
- c. 6 = 1, 2, 3, 6

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3. List the first 3 multiples of the following numbers

> Multiples are obtained by multiplying the number by 1, 2, 3, ...

#### a. 11

- 11 × 1 = 11
- 11 × 2 = 22
- 11 × 3 = 33

✔ Answer: 11, 22, 33

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#### b. 6

- 6 × 1 = 6
- 6 × 2 = 12
- 6 × 3 = 18

✔ Answer: 6, 12, 18

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#### c. 4

- 4 × 1 = 4
- 4 × 2 = 8
- 4 × 3 = 12

✔ Answer: 4, 8, 12

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✔ Summary for Part 3:

- a. 11 = 11, 22, 33
- b. 6 = 6, 12, 18
- c. 4 = 4, 8, 12

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✔ Final Answers:

#### 1. Drag and Drop:
- A. 5 and 10
- B. 45
- C. 1
- D. 4

#### 2. Factors:
- a. 24 = 1, 2, 3, 4, 6, 8, 12, 24
- b. 42 = 1, 2, 3, 6, 7, 14, 21, 42
- c. 6 = 1, 2, 3, 6

#### 3. First 3 Multiples:
- a. 11 = 11, 22, 33
- b. 6 = 6, 12, 18
- c. 4 = 4, 8, 12

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