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2 <p>Last updated on<strong>December 17, 2025</strong></p>

3 <p>A number that divides another number without leaving any remainder is called a factor of the given number. The concept of factors is applied in day-to-day life. They are useful in deciding the best time to schedule work shifts and events.</p>

4 <h2>What are the Factors of 12?</h2>

5 <p>Factors often come in pairs. There are several methods to figure them out, which you'll be learning about in a second.</p>

6 <p>For now let's just focus on the<a>factors</a><a>of</a>12, which are mentioned below:</p>

7 <strong>Factor Type</strong><strong>Values</strong>Positive Factors of 12 1, 2, 3, 4, 6, 12 Negative Factors of 12 -1, -2, -3, -4, -6, -12 Prime Factors of 12 2, 3 Prime Factorization of 12 2 × 2 × 3 = 2² × 3 The sum of the Factors of 12 28<h2>How to Find the Factors of 12?</h2>

8 <p>For finding factors, school kids use different methods for easy calculation. A few commonly used methods are as follows:</p>

9 <ul><li>Use of Multiplication Method</li>

10 <li>Use of Division Method</li>

11 <li>Use of Prime Factors and Prime Factorization</li>

12 </ul><p>So, here we discuss a detailed explanation of the following methods: </p>

13 <h3>Finding Factors Using Multiplication Method</h3>

14 <p>In the<a>multiplication</a>method, we will try to find out what<a>numbers</a>will multiply together, and give us the value 12. We will check the factors step by step:</p>

15 <p><strong>Step 1:</strong>Start to multiply with numbers, which gives the value of 12.</p>

16 <p>Start with 1, and continue to multiply with other numbers. </p>

17 <p>1 × 12 = 12 2 × 6 = 12 3 × 4 = 12</p>

18 <p><strong>Step 2:</strong>After the calculation, we get these numbers, the factors of 12.</p>

19 <p><strong>Step 3:</strong>The positive factor pairs of 12 found through multiplication are(1,12), (2,6), and (3,4)</p>

20 <p><strong>Step 4:</strong>The negative factor pairs of 12 are (-1,-12), (-2,-6), and (-3,-4) </p>

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23 <h3>Finding Factors Using Division Method</h3>

22 <h3>Finding Factors Using Division Method</h3>

24 <p>Using this method, we will break down the given number till our<a>remainder</a>is zero. Let us go through the step-by-step process to find the factors of 108:</p>

23 <p>Using this method, we will break down the given number till our<a>remainder</a>is zero. Let us go through the step-by-step process to find the factors of 108:</p>

25 <p><strong>Step 1:</strong>Divide 108 by smaller numbers and see if there is any remainder. E.g., 108/1 = 108.</p>

24 <p><strong>Step 1:</strong>Divide 108 by smaller numbers and see if there is any remainder. E.g., 108/1 = 108.</p>

26 <p> <strong>Step 2:</strong>We will continue in the same way and check for other numbers as well. For 108, the factors are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 and 108. Because 108 can be divided evenly by these numbers. </p>

25 <p> <strong>Step 2:</strong>We will continue in the same way and check for other numbers as well. For 108, the factors are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 and 108. Because 108 can be divided evenly by these numbers. </p>

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

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

28 <p>The<a>prime factors</a>of 108 are 2 and 3. The prime factors can be found using the methods given below:</p>

27 <p>The<a>prime factors</a>of 108 are 2 and 3. The prime factors can be found using the methods given below:</p>

29 <ul><li>Prime Factorization</li>

28 <ul><li>Prime Factorization</li>

30 <li>Factor Tree</li>

29 <li>Factor Tree</li>

31 </ul><p>By Using Prime Factorization: It is a method in which we break down a number into its prime factor. </p>

30 </ul><p>By Using Prime Factorization: It is a method in which we break down a number into its prime factor. </p>

32 <p>2 is the smallest<a>prime number</a>, so start dividing with two. And then continue to divide with other prime numbers.</p>

31 <p>2 is the smallest<a>prime number</a>, so start dividing with two. And then continue to divide with other prime numbers.</p>

33 <p>108 ÷ 2 = 54 54 ÷ 2 = 27 27 ÷ 3 = 9 9 ÷ 3 = 3 3 ÷ 3 = 1</p>

32 <p>108 ÷ 2 = 54 54 ÷ 2 = 27 27 ÷ 3 = 9 9 ÷ 3 = 3 3 ÷ 3 = 1</p>

34 <p> The prime factorization of 108 is :</p>

33 <p> The prime factorization of 108 is :</p>

35 <p> 108 = 22 × 33</p>

34 <p> 108 = 22 × 33</p>

36 <p>Finally, using the prime factorization method, the prime factors of 108 are 2 and 3. </p>

35 <p>Finally, using the prime factorization method, the prime factors of 108 are 2 and 3. </p>

37 <h3>Prime Factors of 12</h3>

36 <h3>Prime Factors of 12</h3>

38 <h3>Prime Factorization of 12</h3>

37 <h3>Prime Factorization of 12</h3>

39 <h4><strong>Factor Tree</strong></h4>

38 <h4><strong>Factor Tree</strong></h4>

40 <p>A<a>factor tree</a>is a visual representation of breaking a number into its prime factors. It is an easy and simple way to present the factors.</p>

39 <p>A<a>factor tree</a>is a visual representation of breaking a number into its prime factors. It is an easy and simple way to present the factors.</p>

41 <p>Step 1: 108 divided by 2 gives us the answer 54.</p>

40 <p>Step 1: 108 divided by 2 gives us the answer 54.</p>

42 <p>Step 2: Since 54 is not a prime number, it can be divided further.</p>

41 <p>Step 2: Since 54 is not a prime number, it can be divided further.</p>

43 <p>108 ÷ 2 = 54 54 ÷ 2 = 27 27 ÷ 3 = 9 9 ÷ 3 = 3 3 ÷ 3 = 1 </p>

42 <p>108 ÷ 2 = 54 54 ÷ 2 = 27 27 ÷ 3 = 9 9 ÷ 3 = 3 3 ÷ 3 = 1 </p>

44 <p>The prime factorization of 108 is written below : </p>

43 <p>The prime factorization of 108 is written below : </p>

45 <p> 108 = 22 × 33</p>

44 <p> 108 = 22 × 33</p>

46 <h3>Factor Pairs of 12</h3>

45 <h3>Factor Pairs of 12</h3>

47 <p>The factors of 12 can be written in both positive and negative pairs. The table below represents the factor pairs of 12, where the product of each pair of numbers is equal to 12.</p>

46 <p>The factors of 12 can be written in both positive and negative pairs. The table below represents the factor pairs of 12, where the product of each pair of numbers is equal to 12.</p>

48 <p><strong>Positive Pair Factors of 12:</strong></p>

47 <p><strong>Positive Pair Factors of 12:</strong></p>

49 <strong>Factors</strong><strong>Positive Pair Factors</strong>1 × 12 = 12 1, 12 2 × 6 = 12 2, 6 3 × 4 = 12 3, 4<p>Since the product of two negative numbers is also positive, 12 also has negative pair factors.</p>

48 <strong>Factors</strong><strong>Positive Pair Factors</strong>1 × 12 = 12 1, 12 2 × 6 = 12 2, 6 3 × 4 = 12 3, 4<p>Since the product of two negative numbers is also positive, 12 also has negative pair factors.</p>

50 <p><strong>Negative Pair Factors of 12:</strong></p>

49 <p><strong>Negative Pair Factors of 12:</strong></p>

51 <strong>Factors</strong><strong>Negative Pair Factors</strong>-1 × -12 = 12 -1, -12 -2 × -6 = 12 -2, -6 -3 × -4 = 12 -3, -4<h2>Common Mistakes and How to Avoid Them in Factors Of 108</h2>

50 <strong>Factors</strong><strong>Negative Pair Factors</strong>-1 × -12 = 12 -1, -12 -2 × -6 = 12 -2, -6 -3 × -4 = 12 -3, -4<h2>Common Mistakes and How to Avoid Them in Factors Of 108</h2>

52 <p>Children tend to make mistakes while finding the factors of a number. Let us look at how to avoid those mistakes. </p>

51 <p>Children tend to make mistakes while finding the factors of a number. Let us look at how to avoid those mistakes. </p>

52 + <h2>Download Worksheets</h2>

53 <h3>Problem 1</h3>

54 <p>Miya wants to distribute 108 chocolates equally among 36 friends. How many candies does each friend get?</p>

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

56 <p> Each friend will get 3 candies.</p>

57 <h3>Explanation</h3>

58 <p>The best way to distribute the chocolates equally among friends is to divide the total number of chocolates by the total number of friends. After the calculation, Miya finds the solution and each friend will get 3 candies. 108 ÷ 36 = 3 </p>

59 <p>Well explained 👍</p>

60 <h3>Problem 2</h3>

61 <p>Sonya plans to plant flowers in a garden. She wants to plant 108 flowers in rows, with 4 flowers in each row. So how many rows of flowers will there be?</p>

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

63 <p> Sonya can make 27 rows of flowers. </p>

64 <h3>Explanation</h3>

65 <p>The total number of flowers she wants in a row is 108 with 4 flowers in each row. To calculate the total number of flowers, divide the total number of flowers by the number of flowers in each row.</p>

66 <p>108 ÷ 4 = 27 </p>

67 <p>Well explained 👍</p>

68 <h3>Problem 3</h3>

69 <p>What is the GCF of 108 and 72?</p>

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

71 <p>The GCF of 108 and 72 is 36. </p>

72 <h3>Explanation</h3>

73 <p>36 is the greatest common factor of 108 and 72. </p>

74 <p>Factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108. Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36. The common factors: 1, 2, 3, 4, 6, 9, 12, 18, 36.</p>

75 <p>GCF = 36. </p>

76 <p>Well explained 👍</p>

77 <h3>Problem 4</h3>

78 <p>At a Costco store in Dallas, a teacher buys 12 juice boxes to distribute equally among students in a science club. She wants to divide them into groups so that each group has the same number of juice boxes with none left over. What are all the possible group sizes she can use?</p>

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

80 <p>1, 2, 3, 4, 6, 12</p>

81 <h3>Explanation</h3>

82 <p>To divide 12 juice boxes equally without leftovers, we look for numbers that divide 12 exactly.</p>

83 <p>Any number that divides 12 with no remainder is a factor of 12. Checking systematically gives the factors 1, 2, 3, 4, 6, and 12.</p>

84 <p>Well explained 👍</p>

85 <h3>Problem 5</h3>

86 <p>A middle school in Chicago orders 12 NBA team jerseys for a basketball showcase. The coach wants to arrange them into equal rows for display. Which row arrangements are possible using all 12 jerseys?</p>

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

88 <p>1, 2, 3, 4, 6, 12</p>

89 <h3>Explanation</h3>

90 <p>Each row arrangement must use all 12 jerseys evenly.</p>

91 <p>This means the number of rows must be a factor of 12. Dividing 12 by different whole numbers shows that 1, 2, 3, 4, 6, and 12 work without leaving extras.</p>

92 <p>Well explained 👍</p>

93 <h3>Problem 6</h3>

94 <p>A pharmacy student in Boston is studying dosage packaging at CVS. A bottle contains 12 tablets, and the tablets must be packed into equal daily-dose strips. How many tablets can each strip contain without breaking any tablets?</p>

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

96 <p>1, 2, 3, 4, 6, 12</p>

97 <h3>Explanation</h3>

98 <p>Since tablets cannot be broken, each strip must contain a number that divides 12 exactly.</p>

99 <p>The numbers that divide 12 with no remainder are its factors, which are 1, 2, 3, 4, 6, and 12.</p>

100 <p>Well explained 👍</p>

101 <h2>FAQs on Factors of 12</h2>

102 <h3>1.What factors are multiplied to get 108?</h3>

103 <p>These are pair factors. The pair factors of 108 are: (1,108), (2,54), (3,36), (4,27), (6,18), and (9,12) </p>

104 <h3>2.Is 108 a composite number?</h3>

105 <p>Yes, 108 is a<a>composite number</a>. It has more than two factors. Therefore, it is classified as a composite number. </p>

106 <h3>3.What is 108 divisible by?</h3>

107 <p>108 is divisible by numbers that can divide it completely. These numbers, known as factors of 108, are 1, 2, 3, 4, 6, 12, 18, 27, 36, 54, and 108. </p>

108 <h3>4.Is 108 a perfect square?</h3>

109 <h3>5.What is the prime factor of 108?</h3>

110 <p>108 has two prime factors. The prime factors of 108 are 2 and 3. </p>

111 <h3>6.How many factors does 12 have?</h3>

112 <p>The number<strong>12 has 6 factors</strong>.</p>

113 <p>Factors are whole numbers that divide 12 evenly without leaving any remainder. These numbers come in pairs that multiply to give 12.</p>

114 <h3>7.What is the smallest factor of 12?</h3>

115 <p>The<strong>smallest factor of 12</strong>is<strong>1</strong>.</p>

116 <p>This is because 1 divides every whole number evenly and is always the smallest possible factor.</p>

117 <h3>8.What is the largest factor of 12?</h3>

118 <p>The<strong>highest factor of 12</strong>is<strong>12</strong>itself.</p>

119 <p>Every number is always divisible by itself, making it the largest factor.</p>

120 <h3>9.Which factors of 12 add up to 13?</h3>

121 <p>The factors of 12 that add up to<strong>13</strong>are<strong>1 and 12</strong>.</p>

122 <p>Both numbers divide 12 exactly, and their sum is 1 + 12 = 13.</p>

123 <h3>10.How many even factors does 12 have?</h3>

124 <p>The number<strong>12 has 4 even factors</strong>.</p>

125 <p>Even factors are numbers divisible by 2. The even factors of 12 are<strong>2, 4, 6, and 12</strong>.</p>

126 <h3>11.What are the odd factors of 12?</h3>

127 <p>The<strong>odd factors of 12</strong>are<strong>1 and 3</strong>.</p>

128 <p>Odd factors are numbers that are not divisible by 2 but still divide 12 evenly.</p>

129 <h3>12.What is the sum of all the factors of 12?</h3>

130 <p>The<strong>sum of all the factors of 12 is 28</strong>.</p>

131 <p>When you add all the factors-1, 2, 3, 4, 6, and 12-the total equals 28.</p>

132 <h2>Hiralee Lalitkumar Makwana</h2>

133 <h3>About the Author</h3>

134 <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>

135 <h3>Fun Fact</h3>

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