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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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1002, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of 1002?</h2>

5 <p>The<a>numbers</a>that divide 1002 evenly are known as<a>factors</a><a>of</a>1002.</p>

6 <p>A factor of 1002 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, and 1002.</p>

8 <p><strong>Negative factors of 1002:</strong>-1, -2, -3, -6, -167, -334, -501, and -1002.</p>

9 <p><strong>Prime factors of 1002:</strong>2, 3, and 167.</p>

10 <p><strong>Prime factorization of 1002:</strong>2 × 3 × 167.</p>

11 <p>The<a>sum</a>of factors of 1002: 1 + 2 + 3 + 6 + 167 + 334 + 501 + 1002 = 2016</p>

12 <h2>How to Find Factors of 1002?</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 1002. Identifying the numbers which are multiplied to get the number 1002 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 1002 by 1, 1002 × 1 = 1002.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 1002 after multiplying </p>

21 <p>2 × 501 = 1002 </p>

22 <p>3 × 334 = 1002 </p>

23 <p>6 × 167 = 1002</p>

24 <p>Therefore, the positive factor pairs of 1002 are: (1, 1002), (2, 501), (3, 334), (6, 167).</p>

25 <p>All these factor pairs result in 1002.</p>

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

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

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

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 the simple division method</p>

29 <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 the simple division method</p>

31 <p><strong>Step 1:</strong>Divide 1002 by 1, 1002 ÷ 1 = 1002.</p>

30 <p><strong>Step 1:</strong>Divide 1002 by 1, 1002 ÷ 1 = 1002.</p>

32 <p><strong>Step 2:</strong>Continue dividing 1002 by the numbers until the remainder becomes 0.</p>

31 <p><strong>Step 2:</strong>Continue dividing 1002 by the numbers until the remainder becomes 0.</p>

33 <p>1002 ÷ 1 = 1002</p>

32 <p>1002 ÷ 1 = 1002</p>

34 <p>1002 ÷ 2 = 501</p>

33 <p>1002 ÷ 2 = 501</p>

35 <p>1002 ÷ 3 = 334</p>

34 <p>1002 ÷ 3 = 334</p>

36 <p>1002 ÷ 6 = 167</p>

35 <p>1002 ÷ 6 = 167</p>

37 <p>Therefore, the factors of 1002 are: 1, 2, 3, 6, 167, 334, 501, 1002.</p>

36 <p>Therefore, the factors of 1002 are: 1, 2, 3, 6, 167, 334, 501, 1002.</p>

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

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

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

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

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

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

42 </ul><p>Using Prime Factorization: In this process, prime factors of 1002 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

41 </ul><p>Using Prime Factorization: In this process, prime factors of 1002 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

43 <p>1002 ÷ 2 = 501</p>

42 <p>1002 ÷ 2 = 501</p>

44 <p>501 ÷ 3 = 167</p>

43 <p>501 ÷ 3 = 167</p>

45 <p>167 is a prime number, so it cannot be divided further by any number other than 1 and 167.</p>

44 <p>167 is a prime number, so it cannot be divided further by any number other than 1 and 167.</p>

46 <p>The prime factors of 1002 are 2, 3, and 167.</p>

45 <p>The prime factors of 1002 are 2, 3, and 167.</p>

47 <p>The prime factorization of 1002 is: 2 × 3 × 167.</p>

46 <p>The prime factorization of 1002 is: 2 × 3 × 167.</p>

48 <h2>Factor Tree</h2>

47 <h2>Factor Tree</h2>

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

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

50 <p><strong>Step 1:</strong>Firstly, 1002 is divided by 2 to get 501.</p>

49 <p><strong>Step 1:</strong>Firstly, 1002 is divided by 2 to get 501.</p>

51 <p>Step 2: Now divide 501 by 3 to get 167. Here, 167 is a prime number that cannot be divided anymore. So, the prime factorization of 1002 is: 2 × 3 × 167.</p>

50 <p>Step 2: Now divide 501 by 3 to get 167. Here, 167 is a prime number that cannot be divided anymore. So, the prime factorization of 1002 is: 2 × 3 × 167.</p>

52 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>

51 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>

53 <p>Both positive and negative factors constitute factor pairs.</p>

52 <p>Both positive and negative factors constitute factor pairs.</p>

54 <p>Positive factor pairs of 1002: (1, 1002), (2, 501), (3, 334), (6, 167).</p>

53 <p>Positive factor pairs of 1002: (1, 1002), (2, 501), (3, 334), (6, 167).</p>

55 <p>Negative factor pairs of 1002: (-1, -1002), (-2, -501), (-3, -334), (-6, -167).</p>

54 <p>Negative factor pairs of 1002: (-1, -1002), (-2, -501), (-3, -334), (-6, -167).</p>

56 <h2>Common Mistakes and How to Avoid Them in Factors of 1002</h2>

55 <h2>Common Mistakes and How to Avoid Them in Factors of 1002</h2>

57 <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>

56 <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>

57 + <h2>Download Worksheets</h2>

58 <h3>Problem 1</h3>

59 <p>There are 6 teams and 1002 participants in a competition. How many participants will be in each team?</p>

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

61 <p>They will get 167 participants each.</p>

62 <h3>Explanation</h3>

63 <p>To divide the participants equally, we need to divide the total participants by the number of teams.</p>

64 <p>1002/6 = 167</p>

65 <p>Well explained 👍</p>

66 <h3>Problem 2</h3>

67 <p>A garden is rectangular, the length of the garden is 334 meters and the total area is 1002 square meters. Find the width?</p>

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

69 <p>3 meters.</p>

70 <h3>Explanation</h3>

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

72 <p>Area = length × width </p>

73 <p>1002 = 334 × width </p>

74 <p>To find the value of width, we need to shift 334 to the left side. </p>

75 <p>1002/334 = width </p>

76 <p>Width = 3.</p>

77 <p>Well explained 👍</p>

78 <h3>Problem 3</h3>

79 <p>There are 501 bags and 1002 apples. How many apples will be in each bag?</p>

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

81 <p>Each bag will have 2 apples.</p>

82 <h3>Explanation</h3>

83 <p>To find the apples in each bag, divide the total apples by the bags. </p>

84 <p>1002/501 = 2</p>

85 <p>Well explained 👍</p>

86 <h3>Problem 4</h3>

87 <p>In a school, there are 1002 students and 3 groups. How many students are there in each group?</p>

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

89 <p>There are 334 students in each group.</p>

90 <h3>Explanation</h3>

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

92 <p>1002/3 = 334</p>

93 <p>Well explained 👍</p>

94 <h3>Problem 5</h3>

95 <p>1002 books need to be arranged in 2 shelves. How many books will go on each shelf?</p>

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

97 <p>Each of the shelves has 501 books.</p>

98 <h3>Explanation</h3>

99 <p>Divide total books by shelves. </p>

100 <p>1002/2 = 501</p>

101 <p>Well explained 👍</p>

102 <h2>FAQs on Factors of 1002</h2>

103 <h3>1.What are the factors of 1002?</h3>

104 <p>1, 2, 3, 6, 167, 334, 501, 1002 are the factors of 1002.</p>

105 <h3>2.Mention the prime factors of 1002.</h3>

106 <p>The prime factors of 1002 are 2 × 3 × 167.</p>

107 <h3>3.Is 1002 a multiple of 3?</h3>

108 <h3>4.Mention the factor pairs of 1002?</h3>

109 <p>(1, 1002), (2, 501), (3, 334), (6, 167) are the factor pairs of 1002.</p>

110 <h3>5.What is the square of 1002?</h3>

111 <p>The<a>square</a>of 1002 is 1004004.</p>

112 <h2>Important Glossaries for Factor of 1002</h2>

113 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1002 are 1, 2, 3, 6, 167, 334, 501, and 1002. </li>

114 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2, 3, and 167 are prime factors of 1002. </li>

115 <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 1002 are (1, 1002), (2, 501), etc. </li>

116 <li><strong>Negative factors:</strong>Factors that are negative. For example, -1, -2, -3, -6, -167, -334, -501, and -1002 are the negative factors of 1002. </li>

117 <li><strong>Prime factorization:</strong>The process of breaking down a number into its prime factors. For example, the prime factorization of 1002 is 2 × 3 × 167.</li>

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

119 <p>▶</p>

120 <h2>Hiralee Lalitkumar Makwana</h2>

121 <h3>About the Author</h3>

122 <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>

123 <h3>Fun Fact</h3>

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