Educational math worksheets focusing on factors and multiples for CCSS 4.OA.4.

Actually, you haven’t uploaded an image with a *specific problem to solve* — what you’ve shared is the cover or title page of a worksheet set titled:

> “Operations & Algebraic Thinking: Factors and Multiples — CCSS 4.OA.4 Worksheets”

This is not a single math problem, but rather a preview of educational materials designed for Grade 4 students to practice understanding factors and multiples, aligned with the Common Core standard 4.OA.4.

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🎯 What is CCSS 4.OA.4?

The Common Core Standard 4.OA.4 says:
> *Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.*

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✔ So, what’s in the worksheets shown?

There are two types of activities visible:

#### 1. Assisted Learning (Left Worksheet)
These are “we know that... therefore...” statements where students must choose the correct logical conclusion.

Let’s solve the examples shown:

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Problem 5: We know that 4 × 15 = 60. Therefore…

Options:
- 15 is a prime number → ✘ (15 = 3×5 → not prime)
- 4 is a factor of 15 and 60 → ✘ (4 is NOT a factor of 15)
- 60 is a multiple of 4 → ✔ (Yes! 4 × 15 = 60 → so 60 is a multiple of 4)

✔ Correct Answer: 60 is a multiple of 4

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Problem 6: We know that 12 × 2 = 24. Therefore…

Options:
- 24 is a factor of 12 → ✘ (Factors are smaller or equal; 24 > 12)
- 2 is a factor of 12 → ✔ (Yes, 12 ÷ 2 = 6)
- 2 is a factor of 24 → ✔ (Also true, 24 ÷ 2 = 12)

⚠️ Wait — both “2 is a factor of 12” AND “2 is a factor of 24” are true. But since it says “determine which statement is true” (singular), and often these worksheets expect one best answer, we should pick the one most directly implied by “12 × 2 = 24”.

→ Since 2 is a factor in the multiplication that gives 24, “2 is a factor of 24” is the most direct conclusion.

✔ Best Answer: 2 is a factor of 24

*(Note: If multiple answers are allowed, both are correct — but typically only one box is to be selected.)*

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Problem 7: We know that 8 × 5 = 40. Therefore…

Options:
- 40 is a prime number → ✘ (40 has many factors)
- 40 is a multiple of 5 → ✔ (Yes! 5 × 8 = 40)
- 8 is a multiple of 5 → ✘ (8 ÷ 5 = 1.6 → not whole)

✔ Correct Answer: 40 is a multiple of 5

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Problem 8: We know that 9 × 9 = 81. Therefore…

Options:
- 81 is a prime number → ✘ (81 = 9×9 → composite)
- 9 is a factor of 81 → ✔ (Yes! 81 ÷ 9 = 9)
- 9 is a multiple of 81 → ✘ (No, 9 < 81)

✔ Correct Answer: 9 is a factor of 81

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#### 2. Independent Learning (Right Worksheet)

These are multiple-choice questions asking students to identify factors or multiples.

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Question 1: Which of the following numbers is a factor of 56?

Options: 7, 3, 5

Check:
- 56 ÷ 7 = 8 → ✔
- 56 ÷ 3 ≈ 18.67 → ✘
- 56 ÷ 5 = 11.2 → ✘

✔ Answer: 7

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Question 2: Which of the following numbers is a factor of 64?

Options: 9, 3, 8

Check:
- 64 ÷ 9 ≈ 7.11 → ✘
- 64 ÷ 3 ≈ 21.33 → ✘
- 64 ÷ 8 = 8 → ✔

✔ Answer: 8

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Question 3: Which of the following numbers is a multiple of 4?

Options: 47, 32, 1

Check:
- 47 ÷ 4 = 11.75 → ✘
- 32 ÷ 4 = 8 → ✔
- 1 ÷ 4 = 0.25 → ✘

✔ Answer: 32

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Question 4: Which of the following are factors of 72?

Options:
- A) 3, 4, 5, 6
- B) 1, 2, 3, 4
- C) 6, 7, 8, 9

Check each:

Option A: 3,4,5,6
- 72 ÷ 3 = 24 → ✔
- 72 ÷ 4 = 18 → ✔
- 72 ÷ 5 = 14.4 → ✘ → So A is invalid

Option B: 1,2,3,4
- All divide 72 evenly → ✔

Option C: 6,7,8,9
- 72 ÷ 6 = 12 → ✔
- 72 ÷ 7 ≈ 10.28 → ✘ → So C invalid

✔ Answer: B) 1, 2, 3, 4

*(Note: While 6,8,9 are also factors of 72, option C includes 7, which is not — so it’s incorrect. Option B is fully correct.)*

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🧠 Summary of Key Concepts Taught:

- Factor: A number that divides another number evenly (no remainder).
- Multiple: The product of a number and an integer.
- Prime Number: A number with exactly two factors: 1 and itself.
- Composite Number: A number with more than two factors.

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✔ Final Answers to All Visible Problems:

Assisted Learning:
5. ✔ 60 is a multiple of 4
6. ✔ 2 is a factor of 24 *(or 2 is a factor of 12 — both true, but 24 is the product)*
7. ✔ 40 is a multiple of 5
8. ✔ 9 is a factor of 81

Independent Learning:
1. ✔ 7
2. ✔ 8
3. ✔ 32
4. ✔ B) 1, 2, 3, 4

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If you meant to upload a *different* image with a specific problem, feel free to re-upload it — I’m happy to help!

Otherwise, this covers everything shown in the worksheet preview you provided. 😊