4th Grade Factors, Multiples, Prime and Composite Worksheets with Answers (Free PDF)

4th grade factors and multiples worksheet – Maths PDF

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This 4th grade factors and multiples worksheet covers factors, multiples, prime and composite (Common Core 4.OA.B.4), with a free PDF to print.

Key takeaway: This worksheet helps fourth grade students practice listing factors and multiples and deciding whether a number is prime or composite.

Topic: Factors, Multiples, Prime and Composite (4th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 4.OA.B.4
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fourth grade students practice listing factors and multiples and deciding whether a number is prime or composite. Also, arrays, number lines, and real situations make the ideas concrete, and a few problems use divisibility clues.

There are 20 problems. The first eight list factor pairs, factors, and multiples, with an array and a number line. The next four focus on prime and composite numbers and divisibility by 2, 5, and 10. Then, two problems list factors of larger numbers, and the last six are word problems about stickers, muffins, teams, a bus schedule, a mystery number, and a classmate’s claim. Also, allow about 30 minutes.

This worksheet has 20 problems on factors, multiples, prime numbers and composite numbers. Problems ask for factor pairs, lists of multiples, and sorting numbers up to 100 (Common Core 4.OA.B.4).

Grade 4 · Common Core State Standards: 4.OA.B.4

4th grade factors and multiples worksheet: worksheet problems 1 to 10

1 – Factor pairs of 12

First, write all the factor pairs of 12.

2 – Factors of 18

Next, list all the factors of 18 from least to greatest.

3 – Multiples of 7

Then, write the first six multiples of 7.

4 – Reading an array

Maya arranged square tiles in the array below.

An array of tiles.

Write a multiplication equation for the array. Then list all the factor pairs of the number of tiles.

5 – Is it a factor?

Also, is 6 a factor of 54? Explain how you know.

6 – Is it a multiple?

First, decide whether each number is a multiple of 8: (a) 56 (b) 58.

7 – Multiples of 4 in a list

Next, find all the multiples of 4 in this list: 14, 20, 26, 32, 38, 44.

8 – Missing multiples

Then, the dots on the number line show multiples of 8. Write the three missing numbers.

Multiples of 8 on a number line.

9 – Prime or composite

Now, tell whether each number is prime or composite: 7, 9, 11, 15.

10 – Primes from 20 to 40

Also, list all the prime numbers between 20 and 40.

Worksheet problems 11 and up

11 – Odd one out

First, three of the numbers 13, 17, 21 and 23 are prime. Find the number that is not prime and show a factor pair that proves it.

12 – Divisibility by last digit

Without dividing, tell whether 3,465 is divisible by (a) 2 (b) 5 (c) 10.

13 – Factor pairs of 36

Then, find all the factor pairs of 36. How many factors does 36 have?

14 – Factors of 48

Now, list every factor of 48 and tell how many there are.

15 – Sticker poster

Maya has 28 stickers. She wants equal rows with no stickers left over. The picture shows one way. List every possible row length (number of stickers in a row).

One way: 4 rows of 7 stickers.

16 – Muffin boxes

First, a bakery packs muffins in boxes of 6 with none left over.

One box holds 6 muffins.

Which of these totals can be packed exactly: 42, 50, 54, 62?

17 – Team sizes

Coach Rivera has 30 players and wants equal teams. Each team needs at least 2 players and at most 10 players. List the possible team sizes.

18 – Bus schedule

Then, a school bus leaves the stop every 15 minutes, starting at 8:15 AM. The number line shows the first three buses after 8:00. List the next three departure times. Does a bus leave at 9:30 AM?

Each tick is 15 minutes.

Worksheet problem 19 and after

19 – Mystery prime

Now, find the number. It is a prime number between 40 and 50, and the sum of its digits is 11.

20 – Ethan's claim

Ethan says 51 is prime because it is odd and is not in the 2, 5 or 10 times tables. Is Ethan right? Show your reasoning with factor pairs.

Key facts behind this 4th grade factors and multiples worksheet

Key facts

A factor pair multiplies to make the number, such as 3 and 8 for 24.
Also, a number has a limited list of factors but endless multiples.
A prime number has exactly two factors; a composite number has more than two.
Then, the number 1 is neither prime nor composite, and 2 is the only even prime.
Last-digit patterns: 2 for even numbers, 5 for 0 or 5, 10 for 0.

Common mistakes with this 4th grade factors and multiples worksheet

Students call an odd looking number the one that is not prime. Test each number with small divisors, since 33 equals 3 times 11.
Students list only the pairs they find first. Work through 1, 2, 3, and so on in order, and stop when the pairs repeat.
Students forget the starting time in a schedule story. Add the repeat amount each time from the first departure.
Students trust a claim that odd numbers outside the 2, 5, and 10 times tables are prime. Check with 3 and 7 too, since 21 equals 3 times 7.

Tips before you start the worksheet problems

For factor problems, test numbers from 1 upward and write each pair as you find it. Also, stop when the numbers in a pair cross over.
Use skip counting on your fingers or a number line for multiples. Seeing the pattern makes multiples of 7, 8, and 9 easier to remember.
Teachers can ask students to share a mystery number puzzle they write, since using several clues at once builds reasoning.

Download the 4th grade factors and multiples worksheet as a PDF with the button below and keep it with your notes.

4th grade factors and multiples worksheet: frequently asked questions

How do you list all the factors of a number?

Test whole numbers from 1 upward to see which divide evenly, and write each as a pair. For 20, the pairs are 1 and 20, 2 and 10, and 4 and 5. Stop when the next number would repeat a factor you already have.

How do you know whether a number is prime?

Check whether it has any factor other than 1 and itself by testing small numbers. A number like 29 is not divisible by 2, 3, or 5, so it is prime. If you find any other factor, the number is composite.

How can you quickly decide whether a number is divisible by 2, 5, or 10?

Look at the last digit. A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8, by 5 if it ends in 0 or 5, and by 10 if it ends in 0. The number 7,240 ends in 0, so it passes all three tests.

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