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Factors and Multiples - Worksheet 9 - 4th Grade

Hard

List positive factors and find multiples of whole numbers.

hard: Combine operations or reverse a relationship.

23 problems · 15-20 minutes · Skills: number theory, multiplication

About This Worksheet

This hard-level worksheet contains 23 problems designed for 4th Grade students practicing factors and multiples. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Use signed arithmetic, substitute values and read expressions with variables.

  • List positive factors and find multiples of whole numbers.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: List all positive factors of 6 in increasing order.
Solution Steps:
  1. Test whole-number divisors from 1 up to the number.
  2. Keep each divisor that leaves no remainder.
Answer: 1, 2, 3, 6
Tip: Check your result using the method in the example before moving to the next question.
1
List all positive factors of 7 in increasing order.
2
What is the 6th positive multiple of 4?
3
List all positive factors of 24 in increasing order.
4
What is the 6th positive multiple of 2?
5
List all positive factors of 10 in increasing order.
6
What is the 6th positive multiple of 10?
7
List all positive factors of 22 in increasing order.
8
What is the 6th positive multiple of 3?
9
List all positive factors of 4 in increasing order.
10
What is the 6th positive multiple of 22?
11
List all positive factors of 11 in increasing order.
12
What is the 6th positive multiple of 12?
13
List all positive factors of 3 in increasing order.
14
What is the 6th positive multiple of 18?
15
List all positive factors of 12 in increasing order.
16
What is the 6th positive multiple of 16?
17
List all positive factors of 19 in increasing order.
18
What is the 6th positive multiple of 15?
19
List all positive factors of 13 in increasing order.
20
What is the 6th positive multiple of 19?
21
List all positive factors of 17 in increasing order.
22
What is the 6th positive multiple of 11?
23
List all positive factors of 2 in increasing order.

Answer Key

1. 1, 72. 243. 1, 2, 3, 4, 6, 8, 12, 244. 125. 1, 2, 5, 106. 607. 1, 2, 11, 228. 189. 1, 2, 410. 13211. 1, 1112. 7213. 1, 314. 10815. 1, 2, 3, 4, 6, 1216. 9617. 1, 1918. 9019. 1, 1320. 11421. 1, 1722. 6623. 1, 2

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Frequently Asked Questions

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Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this place value worksheet cover?

This worksheet focuses on number theory, multiplication. It is designed for 4th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 23 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.