Let’s solve this step by step.
We are finding
factors of numbers.
Factors are pairs of numbers that multiply together to make the product (the number we’re looking at).
For example:
2 × 5 = 10 → so 2 and 5 are factors of 10.
We need to find all factor pairs for each number given, then list them in order from smallest to largest.
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For 20:
Find pairs that multiply to 20:
- 1 × 20 = 20
- 2 × 10 = 20
- 4 × 5 = 20
So the factors are:
1, 2, 4, 5, 10, 20
There are 6 circles — perfect!
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For 27:
Pairs that multiply to 27:
- 1 × 27 = 27
- 3 × 9 = 27
(No other whole numbers work — 2 doesn’t divide 27 evenly, 4 doesn’t, etc.)
So the factors are:
1, 3, 9, 27
There are 4 circles — matches!
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For 12:
Pairs that multiply to 12:
- 1 × 12 = 12
- 2 × 6 = 12
- 3 × 4 = 12
So the factors are:
1, 2, 3, 4, 6, 12
6 circles — good!
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For 15:
Pairs that multiply to 15:
- 1 × 15 = 15
- 3 × 5 = 15
So the factors are:
1, 3, 5, 15
4 circles — correct!
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For 11:
Pairs that multiply to 11:
- 1 × 11 = 11
11 is a prime number — only has two factors.
So the factors are:
1, 11
2 circles — perfect!
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Now, the last part: “List the factors of these numbers”
#### 1. 16
Pairs:
- 1 × 16
- 2 × 8
- 4 × 4 → but we don’t repeat 4 twice
So factors:
1, 2, 4, 8, 16
#### 2. 21
Pairs:
- 1 × 21
- 3 × 7
So factors:
1, 3, 7, 21
#### 3. 23
23 is a prime number — only divisible by 1 and itself.
So factors:
1, 23
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Final Answer:
Fill in the missing factors:
- 20 → 1, 2, 4, 5, 10, 20
- 27 → 1, 3, 9, 27
- 12 → 1, 2, 3, 4, 6, 12
- 15 → 1, 3, 5, 15
- 11 → 1, 11
List the factors:
1. 16 → 1, 2, 4, 8, 16
2. 21 → 1, 3, 7, 21
3. 23 → 1, 23
Parent Tip: Review the logic above to help your child master the concept of factor worksheet grade 4.