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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 a 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 1502, how they are used in real life, and the tips to learn them quickly.</p>

4 <h2>What are the Factors of 1502?</h2>

5 <p>The<a>numbers</a>that divide 1502 evenly are known as<a>factors</a><a>of</a>1502.</p>

6 <p>A factor of 1502 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The factors of 1502 are 1, 2, 751, and 1502.</p>

8 <p>Negative factors of 1502: -1, -2, -751, and -1502.</p>

9 <p><strong>Prime factors of 1502:</strong>2 and 751.</p>

10 <p><strong>Prime factorization of 1502:</strong>2 × 751.</p>

11 <p><strong>The<a>sum</a>of factors of 1502:</strong>1 + 2 + 751 + 1502 = 2256</p>

12 <h2>How to Find Factors of 1502?</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 the<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 1502. Identifying the numbers which are multiplied to get the number 1502 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 1502 by 1, 1502 × 1 = 1502.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 1502 after multiplying</p>

21 <p>2 × 751 = 1502</p>

22 <p>Therefore, the positive factor pairs of 1502 are: (1, 1502) and (2, 751).</p>

23 <p>All these factor pairs result in 1502.</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 as 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 as whole numbers as factors. Factors can be calculated by following a simple division method</p>

29 <p><strong>Step 1:</strong>Divide 1502 by 1, 1502 ÷ 1 = 1502.</p>

28 <p><strong>Step 1:</strong>Divide 1502 by 1, 1502 ÷ 1 = 1502.</p>

30 <p><strong>Step 2:</strong>Continue dividing 1502 by the numbers until the remainder becomes 0.</p>

29 <p><strong>Step 2:</strong>Continue dividing 1502 by the numbers until the remainder becomes 0.</p>

31 <p>1502 ÷ 1 = 1502</p>

30 <p>1502 ÷ 1 = 1502</p>

32 <p>1502 ÷ 2 = 751</p>

31 <p>1502 ÷ 2 = 751</p>

33 <p>Therefore, the factors of 1502 are: 1, 2, 751, 1502.</p>

32 <p>Therefore, the factors of 1502 are: 1, 2, 751, 1502.</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<a>factor tree</a></li>

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

38 </ul><p>Using Prime Factorization: In this process, prime factors of 1502 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

37 </ul><p>Using Prime Factorization: In this process, prime factors of 1502 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

39 <p>1502 ÷ 2 = 751</p>

38 <p>1502 ÷ 2 = 751</p>

40 <p>751 is a prime number and cannot be divided further.</p>

39 <p>751 is a prime number and cannot be divided further.</p>

41 <p>The prime factors of 1502 are 2 and 751.</p>

40 <p>The prime factors of 1502 are 2 and 751.</p>

42 <p>The prime factorization of 1502 is: 2 × 751.</p>

41 <p>The prime factorization of 1502 is: 2 × 751.</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, 1502 is divided by 2 to get 751. Here, 751 is a prime number and cannot be divided further. So, the prime factorization of 1502 is: 2 × 751.</p>

44 <p><strong>Step 1:</strong>Firstly, 1502 is divided by 2 to get 751. Here, 751 is a prime number and cannot be divided further. So, the prime factorization of 1502 is: 2 × 751.</p>

46 <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>

45 <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>

47 <p>Positive factor pairs of 1502: (1, 1502) and (2, 751).</p>

46 <p>Positive factor pairs of 1502: (1, 1502) and (2, 751).</p>

48 <p>Negative factor pairs of 1502: (-1, -1502) and (-2, -751).</p>

47 <p>Negative factor pairs of 1502: (-1, -1502) and (-2, -751).</p>

49 <h2>Common Mistakes and How to Avoid Them in Factors of 1502</h2>

48 <h2>Common Mistakes and How to Avoid Them in Factors of 1502</h2>

50 <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>

49 <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>

50 + <h2>Download Worksheets</h2>

51 <h3>Problem 1</h3>

52 <p>There are 4 groups and 1502 pencils. How will they divide them equally?</p>

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

54 <p>They will get 375 pencils each.</p>

55 <h3>Explanation</h3>

56 <p>To divide the pencils equally, we need to divide the total pencils with the number of groups.</p>

57 <p>1502/4 = 375.5 (Since it does not divide evenly, the closest whole number is used)</p>

58 <p>Well explained 👍</p>

59 <h3>Problem 2</h3>

60 <p>A rectangular room has a length of 2 meters and a total area of 1502 square meters. Find the width.</p>

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

62 <p>751 meters.</p>

63 <h3>Explanation</h3>

64 <p>To find the width of the room, we use the formula, Area = length × width</p>

65 <p>1502 = 2 × width</p>

66 <p>To find the value of width, we need to shift 2 to the left side.</p>

67 <p>1502/2 = width</p>

68 <p>Width = 751.</p>

69 <p>Well explained 👍</p>

70 <h3>Problem 3</h3>

71 <p>There are 751 marbles and 2 containers. How many marbles will be in each container?</p>

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

73 <p>Each container will have 375 marbles.</p>

74 <h3>Explanation</h3>

75 <p>To find the marbles in each container, divide the total marbles with the containers.</p>

76 <p>751/2 = 375.5 (Since it does not divide evenly, the closest whole number is used)</p>

77 <p>Well explained 👍</p>

78 <h3>Problem 4</h3>

79 <p>A company has 1502 employees, and they want to form 2 teams. How many employees are there in each team?</p>

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

81 <p>There are 751 employees in each team.</p>

82 <h3>Explanation</h3>

83 <p>Dividing the employees with the total teams, we will get the number of employees in each team.</p>

84 <p>1502/2 = 751</p>

85 <p>Well explained 👍</p>

86 <h3>Problem 5</h3>

87 <p>1502 pieces of candy need to be arranged in 2 jars. How many candies will go in each jar?</p>

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

89 <p>Each of the jars has 751 candies.</p>

90 <h3>Explanation</h3>

91 <p>Divide total candies with jars.</p>

92 <p>1502/2 = 751</p>

93 <p>Well explained 👍</p>

94 <h2>FAQs on Factors of 1502</h2>

95 <h3>1.What are the factors of 1502?</h3>

96 <p>1, 2, 751, 1502 are the factors of 1502.</p>

97 <h3>2.Mention the prime factors of 1502.</h3>

98 <p>The prime factors of 1502 are 2 × 751.</p>

99 <h3>3.Is 1502 a multiple of 2?</h3>

100 <h3>4.Mention the factor pairs of 1502?</h3>

101 <p>(1, 1502) and (2, 751) are the factor pairs of 1502.</p>

102 <h3>5.What is the square of 1502?</h3>

103 <p>The<a>square</a>of 1502 is 2,256,004.</p>

104 <h2>Important Glossaries for Factors of 1502</h2>

105 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1502 are 1, 2, 751, and 1502.</li>

106 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2 and 751 are prime factors of 1502.</li>

107 </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 1502 are (1, 1502) and (2, 751).</li>

108 </ul><ul><li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1502 is 2 × 751.</li>

109 </ul><ul><li><strong>Negative factors:</strong>Negative numbers that divide the original number without leaving a remainder. For example, the negative factors of 1502 are -1, -2, -751, and -1502.</li>

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

111 <p>▶</p>

112 <h2>Hiralee Lalitkumar Makwana</h2>

113 <h3>About the Author</h3>

114 <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>

115 <h3>Fun Fact</h3>

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