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2 <p>Last updated on<strong>December 11, 2025</strong></p>

3 <p>Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 67, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 67?</h2>

5 <p>The<a>numbers</a>that divide 67 evenly are known as<a>factors</a><a>of</a>67. A factor of 67 is a number that divides the number without<a>remainder</a>. The factors of 67 are 1 and 67. Negative factors of 67: -1 and -67. Prime factors of 67: 67 (since 67 is a<a>prime number</a>itself). The<a>sum</a>of factors of 67: 1 + 67 = 68</p>

6 <h2>How to Find Factors of 67?</h2>

7 <p>Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using<a>multiplication</a>Finding factors using the<a>division</a>method Prime factors and Prime factorization</p>

8 <h2>Finding Factors Using Multiplication</h2>

9 <p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 67. Identifying the numbers which are multiplied to get the number 67 is the multiplication method. Step 1: Multiply 67 by 1, 67 × 1 = 67. Since 67 is a prime number, there are no other pairs. Therefore, the positive factor pairs of 67 are: (1, 67). For every positive factor, there is a negative factor.</p>

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12 <h2>Finding Factors Using Division Method</h2>

11 <h2>Finding Factors Using Division Method</h2>

13 <p>Dividing the given number by<a>whole numbers</a>until the remainder becomes zero and listing the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 67 by 1, 67 ÷ 1 = 67. Step 2: As 67 is a prime number, no other whole number divisions will result in a whole number until 67 ÷ 67 = 1. Therefore, the factors of 67 are: 1 and 67.</p>

12 <p>Dividing the given number by<a>whole numbers</a>until the remainder becomes zero and listing the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 67 by 1, 67 ÷ 1 = 67. Step 2: As 67 is a prime number, no other whole number divisions will result in a whole number until 67 ÷ 67 = 1. Therefore, the factors of 67 are: 1 and 67.</p>

14 <h2>Prime Factors and Prime Factorization</h2>

13 <h2>Prime Factors and Prime Factorization</h2>

15 <p>The factors can be found by dividing with prime numbers. We can find the<a>prime factors</a>using the following methods: Using prime factorization Using a<a>factor tree</a>Using Prime Factorization: Since 67 is a prime number, it cannot be broken down further into other prime factors. Therefore, 67 is its own prime factor.</p>

14 <p>The factors can be found by dividing with prime numbers. We can find the<a>prime factors</a>using the following methods: Using prime factorization Using a<a>factor tree</a>Using Prime Factorization: Since 67 is a prime number, it cannot be broken down further into other prime factors. Therefore, 67 is its own prime factor.</p>

16 <h2>Factor Tree</h2>

15 <h2>Factor Tree</h2>

17 <p>A factor tree is the graphical representation of breaking down any number into prime factors. For 67, since it is a prime number, the factor tree is simple: 67 67 is a prime number, so it cannot be broken down further. Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs. Positive factor pairs of 67: (1, 67). Negative factor pairs of 67: (-1, -67).</p>

16 <p>A factor tree is the graphical representation of breaking down any number into prime factors. For 67, since it is a prime number, the factor tree is simple: 67 67 is a prime number, so it cannot be broken down further. Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs. Positive factor pairs of 67: (1, 67). Negative factor pairs of 67: (-1, -67).</p>

18 <h2>Common Mistakes and How to Avoid Them in Factors of 67</h2>

17 <h2>Common Mistakes and How to Avoid Them in Factors of 67</h2>

19 <p>Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.</p>

18 <p>Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.</p>

19 + <h2>Download Worksheets</h2>

20 <h3>Problem 1</h3>

21 <p>There are 67 students and 1 teacher. How can the teacher divide the students into equal groups?</p>

22 <p>Okay, lets begin</p>

23 <p>The teacher can have 1 group of 67 students or 67 groups of 1 student each.</p>

24 <h3>Explanation</h3>

25 <p>To divide the students equally, the teacher can only use the factors of 67, which are 1 and 67.</p>

26 <p>Well explained 👍</p>

27 <h3>Problem 2</h3>

28 <p>A farmer has 67 apple trees and wants to plant them in such a way that each row has the same number of trees. What are his options?</p>

29 <p>Okay, lets begin</p>

30 <p>The farmer can plant 1 row of 67 trees or 67 rows of 1 tree each.</p>

31 <h3>Explanation</h3>

32 <p>To plant the trees equally, the farmer can only use the factor pairs of 67, which are (1, 67).</p>

33 <p>Well explained 👍</p>

34 <h3>Problem 3</h3>

35 <p>A library has 67 books and wants to arrange them on shelves. How many ways can the library do this evenly?</p>

36 <p>Okay, lets begin</p>

37 <p>The library can place all 67 books on one shelf or place 1 book on each of 67 shelves.</p>

38 <h3>Explanation</h3>

39 <p>The library can arrange the books using the factors of 67, which are 1 and 67.</p>

40 <p>Well explained 👍</p>

41 <h2>FAQs on Factors of 67</h2>

42 <h3>1.What are the factors of 67?</h3>

43 <p>1 and 67 are the factors of 67.</p>

44 <h3>2.Mention the prime factors of 67.</h3>

45 <p>Since 67 is a prime number, its only prime factor is 67 itself.</p>

46 <h3>3.Is 67 a multiple of 2?</h3>

47 <h3>4.Mention the factor pairs of 67?</h3>

48 <p>(1, 67) are the factor pairs of 67.</p>

49 <h3>5.What is the square of 67?</h3>

50 <h2>Important Glossaries for Factors of 67</h2>

51 <p>Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 67 are 1 and 67. Prime factors: The factors which are prime numbers. For example, 67 is the prime factor of itself. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 67 is (1, 67). Prime Number: A number greater than 1 with no divisors other than 1 and itself. For example, 67 is a prime number. Negative Factors: Negative counterparts of the factors. For example, the negative factors of 67 are -1 and -67.</p>

52 <p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

53 <p>▶</p>

54 <h2>Hiralee Lalitkumar Makwana</h2>

55 <h3>About the Author</h3>

56 <p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>

57 <h3>Fun Fact</h3>

58 <p>: She loves to read number jokes and games.</p>