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2 <p>Last updated on<strong>December 15, 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 1402, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of 1402?</h2>

5 <p>The<a>numbers</a>that divide 1402 evenly are known as<a>factors</a><a>of</a>1402.</p>

6 <p>A factor of 1402 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The factors of 1402 are 1, 2, 701, and 1402.</p>

8 <p><strong>Negative factors of 1402:</strong>-1, -2, -701, and -1402.</p>

9 <p><strong>Prime factors of 1402:</strong>2 and 701.</p>

10 <p><strong>Prime factorization of 1402:</strong>2 × 701.</p>

11 <p>The<a>sum</a>of factors of 1402: 1 + 2 + 701 + 1402 = 2106</p>

12 <h2>How to Find Factors of 1402?</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 1402. Identifying the numbers which are multiplied to get the number 1402 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 1402 by 1, 1402 × 1 = 1402.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 1402 after multiplying</p>

21 <p>2 × 701 = 1402</p>

22 <p>Therefore, the positive factor pairs of 1402 are: (1, 1402) and (2, 701).</p>

23 <p>All these factor pairs result in 1402.</p>

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

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

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

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

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

29 <p><strong>Step 1:</strong>Divide 1402 by 1, 1402 ÷ 1 = 1402.</p>

28 <p><strong>Step 1:</strong>Divide 1402 by 1, 1402 ÷ 1 = 1402.</p>

30 <p><strong>Step 2:</strong>Continue dividing 1402 by the numbers until the remainder becomes 0.</p>

29 <p><strong>Step 2:</strong>Continue dividing 1402 by the numbers until the remainder becomes 0.</p>

31 <p>1402 ÷ 1 = 1402</p>

30 <p>1402 ÷ 1 = 1402</p>

32 <p>1402 ÷ 2 = 701</p>

31 <p>1402 ÷ 2 = 701</p>

33 <p>Therefore, the factors of 1402 are: 1, 2, 701, 1402.</p>

32 <p>Therefore, the factors of 1402 are: 1, 2, 701, 1402.</p>

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

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

35 <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>

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

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

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

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

38 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 1402 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

37 </ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 1402 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

39 <p>1402 ÷ 2 = 701</p>

38 <p>1402 ÷ 2 = 701</p>

40 <p>701 ÷ 701 = 1</p>

39 <p>701 ÷ 701 = 1</p>

41 <p>The prime factors of 1402 are 2 and 701.</p>

40 <p>The prime factors of 1402 are 2 and 701.</p>

42 <p>The prime factorization of 1402 is: 2 × 701.</p>

41 <p>The prime factorization of 1402 is: 2 × 701.</p>

43 <h3>Factor Tree</h3>

42 <h3>Factor Tree</h3>

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

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

45 <p><strong>Step 1:</strong>Firstly, 1402 is divided by 2 to get 701.</p>

44 <p><strong>Step 1:</strong>Firstly, 1402 is divided by 2 to get 701.</p>

46 <p><strong>Step 2:</strong>701 is a prime number and cannot be divided further.</p>

45 <p><strong>Step 2:</strong>701 is a prime number and cannot be divided further.</p>

47 <p>So, the prime factorization of 1402 is: 2 × 701.</p>

46 <p>So, the prime factorization of 1402 is: 2 × 701.</p>

48 <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>

47 <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>

49 <p>Positive factor pairs of 1402: (1, 1402) and (2, 701).</p>

48 <p>Positive factor pairs of 1402: (1, 1402) and (2, 701).</p>

50 <p>Negative factor pairs of 1402: (-1, -1402) and (-2, -701).</p>

49 <p>Negative factor pairs of 1402: (-1, -1402) and (-2, -701).</p>

51 <h2>Common Mistakes and How to Avoid Them in Factors of 1402</h2>

50 <h2>Common Mistakes and How to Avoid Them in Factors of 1402</h2>

52 <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>

51 <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>

52 + <h2>Download Worksheets</h2>

53 <h3>Problem 1</h3>

54 <p>There are 14 students and 1402 stickers. How will they divide it equally?</p>

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

56 <p>They will get 100 stickers each, with 2 remaining.</p>

57 <h3>Explanation</h3>

58 <p>To divide the stickers equally, we divide the total stickers by the number of students.</p>

59 <p>1402/14 = 100 R2</p>

60 <p>Well explained 👍</p>

61 <h3>Problem 2</h3>

62 <p>A garden is rectangular, the length of the garden is 2 meters and the total area is 1402 square meters. Find the width?</p>

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

64 <p>701 meters.</p>

65 <h3>Explanation</h3>

66 <p>To find the width of the garden, we use the formula,</p>

67 <p>Area = length × width</p>

68 <p>1402 = 2 × width</p>

69 <p>To find the value of width, we divide the area by the length.</p>

70 <p>1402/2 = width</p>

71 <p>Width = 701.</p>

72 <p>Well explained 👍</p>

73 <h3>Problem 3</h3>

74 <p>There are 7 boxes and 1402 marbles. How many marbles will be in each box?</p>

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

76 <p>Each box will have 200 marbles, with 2 remaining.</p>

77 <h3>Explanation</h3>

78 <p>To find the marbles in each box, divide the total marbles by the boxes.</p>

79 <p>1402/7 = 200 R2</p>

80 <p>Well explained 👍</p>

81 <h3>Problem 4</h3>

82 <p>A class has 1402 students, and they need to form 2 groups. How many students are there in each group?</p>

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

84 <p>There are 701 students in each group.</p>

85 <h3>Explanation</h3>

86 <p>Dividing the students by the total groups, we will get the number of students in each group.</p>

87 <p>1402/2 = 701</p>

88 <p>Well explained 👍</p>

89 <h3>Problem 5</h3>

90 <p>1402 books need to be arranged in 701 shelves. How many books will go on each shelf?</p>

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

92 <p>Each of the shelves has 2 books.</p>

93 <h3>Explanation</h3>

94 <p>Divide the total books by the shelves.</p>

95 <p>1402/701 = 2</p>

96 <p>Well explained 👍</p>

97 <h2>FAQs on Factors of 1402</h2>

98 <h3>1.What are the factors of 1402?</h3>

99 <p>1, 2, 701, and 1402 are the factors of 1402.</p>

100 <h3>2.Mention the prime factors of 1402.</h3>

101 <p>The prime factors of 1402 are 2 and 701.</p>

102 <h3>3.Is 1402 a multiple of 2?</h3>

103 <h3>4.Mention the factor pairs of 1402?</h3>

104 <p>(1, 1402) and (2, 701) are the factor pairs of 1402.</p>

105 <h3>5.What is the square of 1402?</h3>

106 <p>The<a>square</a>of 1402 is 1965604.</p>

107 <h2>Important Glossaries for Factors of 1402</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 1402 are 1, 2, 701, and 1402.</li>

109 </ul><ul><li><strong>Prime factors</strong>: The factors which are prime numbers. For example, 2 and 701 are prime factors of 1402.</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 1402 are (1, 1402) and (2, 701).</li>

111 </ul><ul><li><strong>Prime factorization:</strong>Expressing a number as the product of its prime factors. For example, the prime factorization of 1402 is 2 × 701.</li>

112 </ul><ul><li><strong>Divisibility:</strong>A number is divisible by another if the division results in a whole number without a remainder. For example, 1402 is divisible by 2.</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>