Factoring Worksheets for Grade 5

Factoring is a type of mathematics exercise where we break a number into smaller parts, and when calculating those parts, we need the same number as an answer. This worksheet will help kids to understand the basics of factoring and how factors can be represented. Below, we have introduced different factoring exercises that will improve kids’ problem-solving skills and boost their confidence in math. To handle all the below exercises, kids need to be attentive and energetic. 

Factoring Number Learning Worksheet For Grade 5

Read More: Prime Numbers Math Worksheets for Kids

Factoring Numbers Under 100 Worksheet For Grade 5

1. 8 ->1, 2, 4, 8 
2. 11 -> 1, 11
3. 20 ->1, 2, 4, 5, 10, 20
4. 39 -> 1, 3, 13, 39
5. 43 -> 1, 43
6 . 59 ->1, 59
7. 77 -> 1, 7, 11, 77
8. 93 ->1, 3, 31, 93

In this exercise, kids need to find the factors of each number. Above, there are a total of eight exercises that kids need to perform. To solve this exercise, kids need to follow some rules. First, we have to break a number into smaller parts and remember it is important to get the same number when we are calculating the parts again; otherwise, our answer will be incorrect.  Let’s take an example: 8: As per the rule, the factor will be 1, 2, 4, 8. You can check if the factor is correct or not by multiplying all the parts: 1 x 8 = 8, 2 x 4 = 8, 4x 2 = 8, 8x 1 = 8. 

Prime Numbers Under 100 Worksheets For Grade 5

1.3

• • Prime Factors:- 3
  • Is Prime? Yes

2. 6

• • Prime Factors:- 2 x 3
  • Is Prime? No

3. 14

• • Prime Factors:- 2 x 7
  • Is Prime? No

4. 17

• • Prime Factors:-17
  • Is Prime? Yes

5. 20

• • Prime Factors:-2 x 2 x 5
  • Is Prime? No

6. 27

• • Prime Factors:-3 x 3 x3
  • Is Prime? No

7. 35

• • Prime Factors:-5 x 7
  • Is Prime? No

8. 43

• • Prime Factors:-43
  • Is Prime? Yes

9. 54

• • Prime Factors:-2x 3x 3 x 3
  • Is Prime? No

In this exercise, we have introduced prime numbers. Kids will learn which number is prime or not. A prime number is a number that is only divisible by one or themselves; that means they don’t have any divisor except one. This exercise will help kids to improve their number sense. Above, we have a total of nine queries in the table. We need to check whether the number is prone or not; if they find the number is prime, they need to write it down in the table. 

Prime Numbers 101 to 250 Worksheets For Grade 5

1.107

• • Prime Factors:- 107
  • Is Prime? Yes

2. 133

• • Prime Factors:- 17 x 19
  • Is Prime? No

3. 169

• • Prime Factors:- 13 x 13
  • Is Prime? No

4. 150

• • Prime Factors:-2 x 3 x 5 x 5
  • Is Prime? No

5. 207

• • Prime Factors:- 3 x 3 x 23
  • Is Prime? No

6. 181

• • Prime Factors:-181
  • Is Prime? Yes

7. 215

• • Prime Factors:- 5 x 43
  • Is Prime? No

8. 172

• • Prime Factors:- 2 x 2 x 43
  • Is Prime? No

9. 233

• • Prime Factors:-233
  • Is Prime? Yes

Now, the numbers are higher than the previous one. But we don’t need to worry about it if we know the process if we know what a prime number is and how a number can be checked for prime. Above, we have a total of nine queries that need to be solved. To solve this we have to follow the same rule that is mentioned in the above exercise. We want kids to perform this exercise without any help. 

Prime Numbers 251 to 500 Worksheets For Grade 5

1. 257

• • Prime Factors:- 257
  • Is Prime? Yes

2. 422

• • Prime Factors:- 2 x 211
  • Is Prime? No

3. 319

• • Prime Factors:- 11 x 29
  • Is Prime? No

4. 345

• • Prime Factors:-3 x 5 x 23
  • Is Prime? No

5. 497

• • Prime Factors:- 7 x 71
  • Is Prime? Yes

6. 397

• • Prime Factors:-397
  • Is Prime? Yes

7. 289

• • Prime Factors:- 17x 17
  • Is Prime? No

8. 277

• • Prime Factors:- 277
  • Is Prime? Yes

9. 499

• • Prime Factors:- 499
  • Is Prime? Yes

Solving exercises again and again will boost kids’ confidence to handle more complex problems. We believe that the kids have completed the above task and now they are ready to handle this exercise. In this exercise, the number range is a little bit higher, but we want kids to take this exercise as a challenge and want them to perform it alone. We always want kids to move forward in their future without any help, so we assume kids will also handle this exercise. 

Prime Factor Tree Worksheets For Grade 5

A prime factor tree is a simple graph that is used to represent the factor of a number. This process is simple and easy to understand. Above, we have a total of four prime trees and there are four empty circles in which we need to write factorial. This exercise will help kids understand the graph value and why the graph is important. We would be very glad if kids performed this exercise on their own. It is a simple exercise and it helps them to understand graphs and improve their problem-solving skills.

Divisibility Rules Math Worksheet For Grade 5

1.  2 -> Rules The last digit in the number is even. Example: 48 Last digit is 8 (even).
2. 3 ->The sum of the digits of the number is divisible by 3. Example: 123+1+2+3=6, and 6 is divisible by 3.
3. 4 ->The number formed by the last 2 digits is divisible by 4. Example: 312 Last two digits are 12, and 12 is divisible by 4.
4. 5-> A number is divisible by 5 if its last digit is 0 or 5. Example: 75-Last digit is 5, so 75 is divisible by 5.
5. 6-> A number is divisible by 6 if it is divisible by both 2 and 3. Example: 24 -Last digit is 4 (even) & 2+4=6 (divisible by 3). 
6. 9 ->The sum of the digits of the number is divisible by 9. Example: 7297+2+918, and 18 is divisible by 9.
7. 10-> A number is divisible by 10 if its last digit is 0. Example: 130 – Last digit is o, so 130 is divisible by 10.  

In this exercise, first kids need to write the divisibility rules above in the table and as per the rule, they need to solve the above table. Kids need to check whether the number is divisible or not. If yes, then make a correct sign; if no, then mark the wrong sign. So we hope kids have understood our exercise and they will handle it on their own. Solving exercises will boost their confidence to handle more complex problems. 

Greatest Common Factor 1 to 50 Worksheets For Grade 5

1. 4 -> 1, 2, 4. 8 -> 1, 2, 4, 8  GCF – 4
2. 12 -> 1, 2, 3, 4, 6, 12 20 -> 1, 2, 4, 5, 10,20 GCF – 4
3. 21 -> 1, 3,  7,  21 3 -> 1, 3 GCF – 3
4. 36 -> 1, 2, 3, 4,  6, 9, 12, 18, 36 9 ->1, 3, 9 GCF – 9
5. 30 -> 1, 2,3, 5, 6, 10, 15, 30 10 -> 1, 2, 5, 10 GCF – 10

In this exercise, we have introduced GCF, which stands for the greatest common factor. To solve this exercise, first kids need to find out the factors of both given numbers and then check which number is common in both factors. It is a simple common number-finding exercise; we want kids to perform this exercise. It will help them to find out common numbers and also help them to improve their number sense. 

Greatest Common Factor 1 to 100 Worksheets For Grade 5

1. 20 -> 1, 2, 4 5 10 20 30 -> 1, 2, 3, 5, 6, 10, 15, 30   GCF – 10
2. 56 -> 1, 2, 4, 7, 8, 14, 28, 56 21-> 1, 3, 7, 21 GCF – 7
3. 36-> 1, 2,  3,  4, 6,9, 12, 18, 36 75-> 1, 3, 5, 15, 25, 75 GCF – 3
4. 57-> 1, 3, 19, 57 99 ->1, 3, 9,11,33, 99 GCF – 3
5. 86 -> 1, 2, 43, 86 2 -> 1, 2 GCF – 2

This is the same exercise that we have done above, but here the numbers are a little bit higher. But we believe that if the process is known, you can solve even more complex exercises. We always motivate kids to not depend on anyone and also boost their confidence to handle math equations without any help. So we hope kids will solve this query independently. If they are facing issues, they can see the above-solved examples. 

Least Common Multiple 2 to 30 Worksheets For Grade 5

1. 2 -> 2,4 4  -> 4  LCM- 4
2. 4 -> 4, 8 8 -> 8 LCM- 8
3. 5 -> 5, 10, 15, 20, 25 25-> 25 LCM- 25
4. 3 -> 3, 6, 9 12, 15, 18 18->18 LCM- 18
5. 7 ->7, 14, 21, 28, 35, 42 6 -> 6, 12, 18, 24, 30, 36, 42, LCM – 42

In this exercise, we have introduced another concept, that is LCM. The least common multiple is nothing but the smallest number that can be a multiple of two or more. Above, we have a total of five queries and for each, we need to find out the common number.  We hope this exercise will help kids understand the concept of LCM. We feel very happy if kids solve this on their own. 

GCF & LCM Word Problem Worksheets For Grade 5

1. Lily visits the library every 6 days, and Noah visits every 4 days if they both wasted the library today, how together again?

• • Solution:- Multiples of 6: 6, 12 4: 4. 8. 12 Lily and Noah will both visit the library again in 12 days

2. At The 15 apples 9 bananas, and 18 oranges. The manager wants to arrange the fruits into equal baskets. What is the greatest number of baskets that can be made?

• • Solution: Factors of 15: 1, 3, 5, 15 9:13,9 18: 1, 2, 3, 6, 9, 18 The greatest number of baskets that can be made is 3.

3. A bakar has 45 chocolate cookies and 81 vanilla cookies. She wants to decide on the tu boxes so that each box has the same number of cooks without making flavors. What is the greatest number of boxes she can use?

• • Solution:- Factors of 45: 1, 3, 5, 9, 15, 45 81: 1, 3, 9, 27, 81 The greatest number of baskets that can be made is 9.

This exercise is a mix of GCF and LCF. Above, we have a total of three queries in the form of sentences. To solve this exercise, kids need to follow some rules. So the first one is to read the question carefully and, after that, find the multiples of the given number. After multiples, we need to find the number that is common in both multipliers. So we hope our concept is helpful for kids, as they have learned new concepts. We want kids to solve this without any help. 

Read More:

• Comparing Numbers Up to 1 Million Worksheet For Grade 4
• Making sense of irrational numbers
• Factoring Worksheets for Grade 4
• Multi-digit Addition Math Foundational Worksheets
• Single-digit Addition Math Worksheets & Free Printables