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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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 272, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of 272?</h2>

5 <p>The<a>numbers</a>that divide 272 evenly are known as<a>factors</a><a>of</a>272.</p>

6 <p>A factor of 272 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, and 272.</p>

8 <p><strong>Negative factors of 272:</strong>-1, -2, -4, -8, -16, -17, -34, -68, -136, and -272.</p>

9 <p>Prime factors of 272: 2 and 17.</p>

10 <p><strong>Prime factorization of 272:</strong>2^4 × 17.</p>

11 <p>The<a>sum</a>of factors of 272: 1 + 2 + 4 + 8 + 16 + 17 + 34 + 68 + 136 + 272 = 558</p>

12 <h2>How to Find Factors of 272?</h2>

13 <p>Factors can be found using different methods. Mentioned below are some commonly used methods:</p>

14 <ul><li>Finding factors using<a>multiplication</a></li>

15 <li>Finding factors using<a>division</a>method</li>

16 <li>Prime factors and Prime factorization</li>

17 </ul><h3>Finding Factors Using Multiplication</h3>

18 <p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 272. Identifying the numbers which are multiplied to get the number 272 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 272 by 1, 272 × 1 = 272.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 272 after multiplying </p>

21 <p>2 × 136 = 272</p>

22 <p>4 × 68 = 272</p>

23 <p>8 × 34 = 272</p>

24 <p>16 × 17 = 272</p>

25 <p><strong>Therefore, the positive factor pairs of 272 are:</strong>(1, 272), (2, 136), (4, 68), (8, 34), (16, 17).</p>

26 <p>All these factor pairs result in 272.</p>

27 <p>For every positive factor, there is a negative factor.</p>

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

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

31 <p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method:</p>

30 <p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method:</p>

32 <p><strong>Step 1:</strong>Divide 272 by 1, 272 ÷ 1 = 272.</p>

31 <p><strong>Step 1:</strong>Divide 272 by 1, 272 ÷ 1 = 272.</p>

33 <p><strong>Step 2:</strong>Continue dividing 272 by the numbers until the remainder becomes 0.</p>

32 <p><strong>Step 2:</strong>Continue dividing 272 by the numbers until the remainder becomes 0.</p>

34 <p>272 ÷ 1 = 272</p>

33 <p>272 ÷ 1 = 272</p>

35 <p>272 ÷ 2 = 136</p>

34 <p>272 ÷ 2 = 136</p>

36 <p>272 ÷ 4 = 68</p>

35 <p>272 ÷ 4 = 68</p>

37 <p>272 ÷ 8 = 34</p>

36 <p>272 ÷ 8 = 34</p>

38 <p>272 ÷ 16 = 17</p>

37 <p>272 ÷ 16 = 17</p>

39 <p>Therefore, the factors of 272 are: 1, 2, 4, 8, 16, 17, 34, 68, 136, 272.</p>

38 <p>Therefore, the factors of 272 are: 1, 2, 4, 8, 16, 17, 34, 68, 136, 272.</p>

40 <h3>Prime Factors and Prime Factorization</h3>

39 <h3>Prime Factors and Prime Factorization</h3>

41 <p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the<a>prime factors</a>using the following methods:</p>

40 <p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the<a>prime factors</a>using the following methods:</p>

42 <ul><li>Using prime factorization</li>

41 <ul><li>Using prime factorization</li>

43 <li>Using<a>factor tree</a></li>

42 <li>Using<a>factor tree</a></li>

44 </ul><p>Using Prime Factorization: In this process, prime factors of 272 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

43 </ul><p>Using Prime Factorization: In this process, prime factors of 272 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

45 <p>272 ÷ 2 = 136</p>

44 <p>272 ÷ 2 = 136</p>

46 <p>136 ÷ 2 = 68</p>

45 <p>136 ÷ 2 = 68</p>

47 <p>68 ÷ 2 = 34</p>

46 <p>68 ÷ 2 = 34</p>

48 <p>34 ÷ 2 = 17</p>

47 <p>34 ÷ 2 = 17</p>

49 <p>17 ÷ 17 = 1</p>

48 <p>17 ÷ 17 = 1</p>

50 <p>The prime factors of 272 are 2 and 17.</p>

49 <p>The prime factors of 272 are 2 and 17.</p>

51 <p>The prime factorization of 272 is: 2^4 × 17.</p>

50 <p>The prime factorization of 272 is: 2^4 × 17.</p>

52 <h3>Factor Tree</h3>

51 <h3>Factor Tree</h3>

53 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:</p>

52 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:</p>

54 <p><strong>Step 1:</strong>Firstly, 272 is divided by 2 to get 136.</p>

53 <p><strong>Step 1:</strong>Firstly, 272 is divided by 2 to get 136.</p>

55 <p><strong>Step 2:</strong>Now divide 136 by 2 to get 68.</p>

54 <p><strong>Step 2:</strong>Now divide 136 by 2 to get 68.</p>

56 <p><strong>Step 3:</strong>Then divide 68 by 2 to get 34.</p>

55 <p><strong>Step 3:</strong>Then divide 68 by 2 to get 34.</p>

57 <p><strong>Step 4:</strong>Divide 34 by 2 to get 17. Here, 17 is the smallest prime number, that cannot be divided further. So, the prime factorization of 272 is: 24 × 17.</p>

56 <p><strong>Step 4:</strong>Divide 34 by 2 to get 17. Here, 17 is the smallest prime number, that cannot be divided further. So, the prime factorization of 272 is: 24 × 17.</p>

58 <p>Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.</p>

57 <p>Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.</p>

59 <p>Positive factor pairs of 272: (1, 272), (2, 136), (4, 68), (8, 34), and (16, 17).</p>

58 <p>Positive factor pairs of 272: (1, 272), (2, 136), (4, 68), (8, 34), and (16, 17).</p>

60 <p>Negative factor pairs of 272: (-1, -272), (-2, -136), (-4, -68), (-8, -34), and (-16, -17).</p>

59 <p>Negative factor pairs of 272: (-1, -272), (-2, -136), (-4, -68), (-8, -34), and (-16, -17).</p>

61 <h2>Common Mistakes and How to Avoid Them in Factors of 272</h2>

60 <h2>Common Mistakes and How to Avoid Them in Factors of 272</h2>

62 <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>

61 <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>

62 + <h2>Download Worksheets</h2>

63 <h3>Problem 1</h3>

64 <p>There are 17 classrooms and 272 chairs. How will they arrange them equally?</p>

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

66 <p>They will place 16 chairs in each classroom.</p>

67 <h3>Explanation</h3>

68 <p>To arrange the chairs equally, we need to divide the total chairs with the number of classrooms.</p>

69 <p>272/17 = 16</p>

70 <p>Well explained 👍</p>

71 <h3>Problem 2</h3>

72 <p>A stage is rectangular, the length of the stage is 8 meters and the total area is 272 square meters. Find the width?</p>

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

74 <p>34 meters.</p>

75 <h3>Explanation</h3>

76 <p>To find the width of the stage, we use the formula,</p>

77 <p>Area = length × width</p>

78 <p>272 = 8 × width</p>

79 <p>To find the value of width, we need to shift 8 to the left side.</p>

80 <p>272/8 = width</p>

81 <p>Width = 34.</p>

82 <p>Well explained 👍</p>

83 <h3>Problem 3</h3>

84 <p>There are 34 baskets and 272 apples. How many apples will be in each basket?</p>

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

86 <p>Each basket will have 8 apples.</p>

87 <h3>Explanation</h3>

88 <p>To find the apples in each basket, divide the total apples with the baskets. </p>

89 <p>272/34 = 8</p>

90 <p>Well explained 👍</p>

91 <h3>Problem 4</h3>

92 <p>In a stadium, there are 272 seats, and 16 sections. How many seats are there in each section?</p>

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

94 <p>There are 17 seats in each section.</p>

95 <h3>Explanation</h3>

96 <p>Dividing the seats with the total sections, we will get the number of seats in each section.</p>

97 <p>272/16 = 17</p>

98 <p>Well explained 👍</p>

99 <h3>Problem 5</h3>

100 <p>272 books need to be arranged in 4 shelves. How many books will go on each shelf?</p>

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

102 <p>Each of the shelves has 68 books.</p>

103 <h3>Explanation</h3>

104 <p>Divide total books with shelves. </p>

105 <p>272/4 = 68</p>

106 <p>Well explained 👍</p>

107 <h2>FAQs on Factors of 272</h2>

108 <h3>1.What are the factors of 272?</h3>

109 <p>1, 2, 4, 8, 16, 17, 34, 68, 136, and 272 are the factors of 272.</p>

110 <h3>2.Mention the prime factors of 272.</h3>

111 <p>The prime factors of 272 are 24 × 17.</p>

112 <h3>3.Is 272 a multiple of 8?</h3>

113 <h3>4.Mention the factor pairs of 272.</h3>

114 <p>(1, 272), (2, 136), (4, 68), (8, 34), and (16, 17) are the factor pairs of 272.</p>

115 <h3>5.What is the square of 272?</h3>

116 <h2>Important Glossaries for Factors of 272</h2>

117 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, and 272.</li>

118 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 17 are prime factors of 272.</li>

119 <li><strong>Factor pairs:</strong>Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 272 are (1, 272), (2, 136), etc.</li>

120 <li><strong>Prime factorization:</strong>Expressing a number as a product of its prime factors. For example, the prime factorization of 272 is 24 × 17.</li>

121 <li><strong>Multiple:</strong>A number that can be divided by another number without a remainder. For example, 272 is a multiple of 8.</li>

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

123 <p>▶</p>

124 <h2>Hiralee Lalitkumar Makwana</h2>

125 <h3>About the Author</h3>

126 <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>

127 <h3>Fun Fact</h3>

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