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1 - <p>551 Learners</p>

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

3 <p>What is a factor of a number? The factor of a number is the numbers when multiplied the product will be the number. We use it in our daily life for distribution of any objects and money exchange.</p>

4 <h2>What are the factors of 31?</h2>

5 <p>The<a>factor</a><a>of</a>31 is the<a>number</a>when multiplied, giving 31 as<a>product</a>. The factors of 31 are 1 and 31. </p>

6 <p><strong>Negative factors of 31:</strong> Factors of a number can be both positive and negative. The negative factors of a number are the negative counterpart of the positive factors. So, the negative factors of 31 are -1 and -31.</p>

7 <p><strong>Prime factors of 31: </strong>As 31 is a<a>prime number</a>, the<a>prime factors</a>of 31 are 1 and 31.</p>

8 <h2>How to find the factors of 31</h2>

9 <p>There are different methods to find the factors. Some methods commonly used are</p>

10 <ul><li>Multiplication method</li>

11 </ul><ul><li>Division method</li>

12 </ul><ul><li>Prime factors and prime factorization</li>

13 </ul><ul><li>Factor tree </li>

14 </ul><h3>Finding factors using multiplication</h3>

15 <p>The pair of numbers when multiplied gives the 31 as a product. Follow the steps to find the factors of 31</p>

16 <p><strong>Step 1:</strong>Find all numbers whose product is 31</p>

17 <p>1 × 31 = 31</p>

18 <p><strong>Step 2:</strong> pair them up and make a list of it</p>

19 <p> Factors of 31 are (1, 31)</p>

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22 <h3>Finding factors by division method</h3>

21 <h3>Finding factors by division method</h3>

23 <p>In the<a>division</a>method, we need to check which numbers can evenly divide 31. </p>

22 <p>In the<a>division</a>method, we need to check which numbers can evenly divide 31. </p>

24 <p>Let’s check the factors of 31 using division method:</p>

23 <p>Let’s check the factors of 31 using division method:</p>

25 <p>31 / 1 =31</p>

24 <p>31 / 1 =31</p>

26 <h3>Prime factors and prime factorization</h3>

25 <h3>Prime factors and prime factorization</h3>

27 <p>Prime factorization of a number is dividing the number into small factors. The product of the prime factors will be the number itself. </p>

26 <p>Prime factorization of a number is dividing the number into small factors. The product of the prime factors will be the number itself. </p>

28 <p>As 31 is a prime number, the prime factors of 31 are 1 and 31. </p>

27 <p>As 31 is a prime number, the prime factors of 31 are 1 and 31. </p>

29 <h3>Factor tree</h3>

28 <h3>Factor tree</h3>

30 <p>The pictorial representation of prime factorization is a<a>factor tree</a>. Here each branch splits into prime factors. </p>

29 <p>The pictorial representation of prime factorization is a<a>factor tree</a>. Here each branch splits into prime factors. </p>

31 <p><strong>Factor pairs:</strong> As the name, factor pairs are the pair of numbers and the product of the pair would be the number itself</p>

30 <p><strong>Factor pairs:</strong> As the name, factor pairs are the pair of numbers and the product of the pair would be the number itself</p>

32 <p><strong>Positive factor pairs of 31:</strong>(1, 31)</p>

31 <p><strong>Positive factor pairs of 31:</strong>(1, 31)</p>

33 <p><strong>Negative factor pairs of 31:</strong>(-1, -31)</p>

32 <p><strong>Negative factor pairs of 31:</strong>(-1, -31)</p>

34 <h2>Common mistakes and how to avoid them in factors of 31</h2>

33 <h2>Common mistakes and how to avoid them in factors of 31</h2>

35 <p>some common mistakes with their solutions are given below:</p>

34 <p>some common mistakes with their solutions are given below:</p>

35 + <h2>Download Worksheets</h2>

36 <h3>Problem 1</h3>

37 <p>List out all the prime factors of 31?</p>

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

39 <p> As 31 is a prime number, the prime factors of 31 are 1 and 31. </p>

40 <h3>Explanation</h3>

41 <p>prime numbers have only two factors, i.e., one and the number itself. </p>

42 <p>Well explained 👍</p>

43 <h3>Problem 2</h3>

44 <p>Check whether 31 is a factor of 62.</p>

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

46 <p>When we divide 62 by 31 the quotient is 2. Hence, yes 31 a factor of 62.</p>

47 <h3>Explanation</h3>

48 <p>Since 31 evenly divides 62, 31 is a factor of 62.</p>

49 <p>Well explained 👍</p>

50 <h3>Problem 3</h3>

51 <p>List out all the negative factors of 31?</p>

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

53 <p>The negative factors of 31 are -1 and -31. </p>

54 <h3>Explanation</h3>

55 <p> the negative factors of a number are the negative counterparts of the positive factors.</p>

56 <p>Well explained 👍</p>

57 <h2>FAQs on factors of 31</h2>

58 <h3>1.How many factors does 31 have?</h3>

59 <p>The number 31 has 2 factors. 1 and 31 are the factors. </p>

60 <h3>2.Check whether 31 a prime or composite number?</h3>

61 <p>Since, 31 has only two factors,<a>i</a>.e, 1 and 31. 31 is a prime number.</p>

62 <h3>3.List down the multiples of 31</h3>

63 <p>The multiples of 31 are 31, 62, 93, 124, 155, 186, 217, 248, 279, 310,… </p>

64 <h2>Important glossaries for factor 31</h2>

65 <ul><li><strong>Prime numbers:</strong>Any number which can only divisible by one and the number itself is a prime number.</li>

66 </ul><ul><li><strong>Composite numbers:</strong>The numbers other than prime are composite numbers. They have more than two factors.</li>

67 </ul><ul><li><strong>Factor tree:</strong>The pictorial representation of factors of a number.</li>

68 </ul><ul><li><strong>Quotient:</strong>The result when dividing two numbers. For example, when we divide 6 by 2, the quotient is 3 </li>

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

70 <p>▶</p>

71 <h2>Hiralee Lalitkumar Makwana</h2>

72 <h3>About the Author</h3>

73 <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>

74 <h3>Fun Fact</h3>

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