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2 <p>Last updated on<strong>December 12, 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 964, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of 964?</h2>

5 <p>The<a>numbers</a>that divide 964 evenly are known as<a>factors</a>of 964.</p>

6 <p>A factor of 964 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 964 are 1, 2, 4, 241, 482, and 964.</p>

8 <p><strong>Negative factors of 964:</strong>-1, -2, -4, -241, -482, and -964.</p>

9 <p><strong>Prime factors of 964:</strong>2 and 241.</p>

10 <p><strong>Prime factorization of 964:</strong>22 × 241.</p>

11 <p>The<a>sum</a>of factors of 964: 1 + 2 + 4 + 241 + 482 + 964 = 1694</p>

12 <h2>How to Find Factors of 964?</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 964. Identifying the numbers which are multiplied to get the number 964 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 964 by 1, 964 × 1 = 964.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 964 after multiplying</p>

21 <p>2 × 482 = 964</p>

22 <p>4 × 241 = 964</p>

23 <p>Therefore, the positive factor pairs of 964 are: (1, 964), (2, 482), (4, 241).</p>

24 <p>All these factor pairs result in 964.</p>

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

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

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

29 <p>Dividing the given numbers with<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>

28 <p>Dividing the given numbers with<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>Step 1: Divide 964 by 1, 964 ÷ 1 = 964.</p>

29 <p>Step 1: Divide 964 by 1, 964 ÷ 1 = 964.</p>

31 <p>Step 2: Continue dividing 964 by the numbers until the remainder becomes 0.</p>

30 <p>Step 2: Continue dividing 964 by the numbers until the remainder becomes 0.</p>

32 <p>964 ÷ 1 = 964</p>

31 <p>964 ÷ 1 = 964</p>

33 <p>964 ÷ 2 = 482</p>

32 <p>964 ÷ 2 = 482</p>

34 <p>964 ÷ 4 = 241</p>

33 <p>964 ÷ 4 = 241</p>

35 <p>Therefore, the factors of 964 are: 1, 2, 4, 241, 482, 964.</p>

34 <p>Therefore, the factors of 964 are: 1, 2, 4, 241, 482, 964.</p>

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

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

37 <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>

36 <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>

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

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

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

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

40 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 964 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.</p>

39 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 964 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.</p>

41 <p>964 ÷ 2 = 482</p>

40 <p>964 ÷ 2 = 482</p>

42 <p>482 ÷ 2 = 241</p>

41 <p>482 ÷ 2 = 241</p>

43 <p>241 ÷ 241 = 1</p>

42 <p>241 ÷ 241 = 1</p>

44 <p>The prime factors of 964 are 2 and 241. The prime factorization of 964 is: 2^2 × 241.</p>

43 <p>The prime factors of 964 are 2 and 241. The prime factorization of 964 is: 2^2 × 241.</p>

45 <h3>Factor Tree</h3>

44 <h3>Factor Tree</h3>

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

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

47 <p><strong>Step 1:</strong>Firstly, 964 is divided by 2 to get 482.</p>

46 <p><strong>Step 1:</strong>Firstly, 964 is divided by 2 to get 482.</p>

48 <p><strong>Step 2:</strong>Now divide 482 by 2 to get 241.</p>

47 <p><strong>Step 2:</strong>Now divide 482 by 2 to get 241.</p>

49 <p><strong>Step 3:</strong>241 is a prime number, so it cannot be divided further.</p>

48 <p><strong>Step 3:</strong>241 is a prime number, so it cannot be divided further.</p>

50 <p>So, the prime factorization of 964 is: 22 × 241.</p>

49 <p>So, the prime factorization of 964 is: 22 × 241.</p>

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

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

52 <p>Positive factor pairs of 964: (1, 964), (2, 482), (4, 241).</p>

51 <p>Positive factor pairs of 964: (1, 964), (2, 482), (4, 241).</p>

53 <p>Negative factor pairs of 964: (-1, -964), (-2, -482), (-4, -241).</p>

52 <p>Negative factor pairs of 964: (-1, -964), (-2, -482), (-4, -241).</p>

54 <h2>Common Mistakes and How to Avoid Them in Factors of 964</h2>

53 <h2>Common Mistakes and How to Avoid Them in Factors of 964</h2>

55 <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>

54 <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>

55 + <h2>Download Worksheets</h2>

56 <h3>Problem 1</h3>

57 <p>There are 4 people and 964 apples. How will they divide them equally?</p>

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

59 <p>They will get 241 apples each.</p>

60 <h3>Explanation</h3>

61 <p>To divide the apples equally, we need to divide the total apples with the number of people.</p>

62 <p>964/4 = 241</p>

63 <p>Well explained 👍</p>

64 <h3>Problem 2</h3>

65 <p>A rectangular garden has a length of 482 meters, and the total area is 964 square meters. Find the width?</p>

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

67 <p>2 meters.</p>

68 <h3>Explanation</h3>

69 <p>To find the width of the garden, we use the formula, Area = length × width 964 = 482 × width</p>

70 <p>To find the value of width, we need to shift 482 to the left side.</p>

71 <p>964/482 = width</p>

72 <p>Width = 2.</p>

73 <p>Well explained 👍</p>

74 <h3>Problem 3</h3>

75 <p>There are 964 pages to be printed, and each printer can print 482 pages. How many printers are needed?</p>

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

77 <p>2 printers are needed.</p>

78 <h3>Explanation</h3>

79 <p>To find the number of printers needed, divide the total pages by the pages each printer can print.</p>

80 <p>964/482 = 2</p>

81 <p>Well explained 👍</p>

82 <h3>Problem 4</h3>

83 <p>In a class, there are 964 students, and they need to form groups of 482. How many groups can be formed?</p>

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

85 <p>2 groups can be formed.</p>

86 <h3>Explanation</h3>

87 <p>Dividing the students by the group size, we will get the number of groups.</p>

88 <p>964/482 = 2</p>

89 <p>Well explained 👍</p>

90 <h3>Problem 5</h3>

91 <p>964 books need to be arranged in sets of 241. How many sets will there be?</p>

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

93 <p>There will be 4 sets.</p>

94 <h3>Explanation</h3>

95 <p>Divide total books by the number in each set.</p>

96 <p>964/241 = 4</p>

97 <p>Well explained 👍</p>

98 <h2>FAQs on Factors of 964</h2>

99 <h3>1.What are the factors of 964?</h3>

100 <p>1, 2, 4, 241, 482, 964 are the factors of 964.</p>

101 <h3>2.Mention the prime factors of 964.</h3>

102 <p>The prime factors of 964 are 22 × 241.</p>

103 <h3>3.Is 964 a multiple of 2?</h3>

104 <h3>4.Mention the factor pairs of 964?</h3>

105 <p>(1, 964), (2, 482), (4, 241) are the factor pairs of 964.</p>

106 <h3>5.What is the square of 964?</h3>

107 <h2>Important Glossaries for Factor of 964</h2>

108 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 964 are 1, 2, 4, 241, 482, and 964.</li>

109 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 241 are prime factors of 964.</li>

110 </ul><ul><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 964 are (1, 964), (2, 482), etc.</li>

111 </ul><ul><li><strong>Prime factorization:</strong>The expression of a number as the product of its prime factors. For instance, the prime factorization of 964 is 2^2 × 241.</li>

112 </ul><ul><li><strong>Multiplication method:</strong>A technique to find factors by identifying pairs of numbers that multiply to give the original number, such as finding factors of 964 through multiplication pairs.</li>

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

114 <p>▶</p>

115 <h2>Hiralee Lalitkumar Makwana</h2>

116 <h3>About the Author</h3>

117 <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>

118 <h3>Fun Fact</h3>

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