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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 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 1007, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 1007?</h2>

5 <p>The<a>numbers</a>that divide 1007 evenly are known as<a>factors</a><a>of</a>1007.</p>

6 <p>A factor of 1007 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The factors of 1007 are 1, 19, 53, and 1007.</p>

8 <p><strong>Negative factors of 1007:</strong>-1, -19, -53, and -1007.</p>

9 <p><strong>Prime factors of 1007:</strong>19 and 53.</p>

10 <p><strong>Prime factorization of 1007:</strong>19 × 53.</p>

11 <p>The<a>sum</a>of factors of 1007: 1 + 19 + 53 + 1007 = 1080</p>

12 <h2>How to Find Factors of 1007?</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<a>prime factorization</a></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 1007. Identifying the numbers which are multiplied to get the number 1007 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 1007 by 1, 1007 × 1 = 1007.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 1007 after multiplying 19 × 53 = 1007</p>

21 <p>Therefore, the positive factor pairs of 1007 are: (1, 1007) and (19, 53).</p>

22 <p>All these factor pairs result in 1007.</p>

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

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

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

27 <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>

26 <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><strong>Step 1:</strong>Divide 1007 by 1, 1007 ÷ 1 = 1007.</p>

27 <p><strong>Step 1:</strong>Divide 1007 by 1, 1007 ÷ 1 = 1007.</p>

29 <p><strong>Step 2:</strong>Continue dividing 1007 by the numbers until the remainder becomes 0.</p>

28 <p><strong>Step 2:</strong>Continue dividing 1007 by the numbers until the remainder becomes 0.</p>

30 <p>1007 ÷ 1 = 1007</p>

29 <p>1007 ÷ 1 = 1007</p>

31 <p>1007 ÷ 19 = 53</p>

30 <p>1007 ÷ 19 = 53</p>

32 <p>Therefore, the factors of 1007 are: 1, 19, 53, 1007.</p>

31 <p>Therefore, the factors of 1007 are: 1, 19, 53, 1007.</p>

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

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

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

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

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

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

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

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

37 </ul><p>Using Prime Factorization: In this process, prime factors of 1007 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

36 </ul><p>Using Prime Factorization: In this process, prime factors of 1007 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

38 <p>1007 ÷ 19 = 53</p>

37 <p>1007 ÷ 19 = 53</p>

39 <p>53 ÷ 53 = 1</p>

38 <p>53 ÷ 53 = 1</p>

40 <p>The prime factors of 1007 are 19 and 53.</p>

39 <p>The prime factors of 1007 are 19 and 53.</p>

41 <p>The prime factorization of 1007 is: 19 × 53.</p>

40 <p>The prime factorization of 1007 is: 19 × 53.</p>

42 <h2>Factor Tree</h2>

41 <h2>Factor Tree</h2>

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

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

44 <p><strong>Step 1:</strong>Firstly, 1007 is divided by 19 to get 53.</p>

43 <p><strong>Step 1:</strong>Firstly, 1007 is divided by 19 to get 53.</p>

45 <p><strong>Step 2:</strong>Now divide 53 by 53 to get 1. Here, 53 is the smallest prime number and cannot be divided anymore. So, the prime factorization of 1007 is: 19 × 53.</p>

44 <p><strong>Step 2:</strong>Now divide 53 by 53 to get 1. Here, 53 is the smallest prime number and cannot be divided anymore. So, the prime factorization of 1007 is: 19 × 53.</p>

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

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

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

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

48 <p>Positive factor pairs of 1007: (1, 1007) and (19, 53).</p>

47 <p>Positive factor pairs of 1007: (1, 1007) and (19, 53).</p>

49 <p>Negative factor pairs of 1007: (-1, -1007) and (-19, -53).</p>

48 <p>Negative factor pairs of 1007: (-1, -1007) and (-19, -53).</p>

50 <h2>Common Mistakes and How to Avoid Them in Factors of 1007</h2>

49 <h2>Common Mistakes and How to Avoid Them in Factors of 1007</h2>

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>

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>

51 + <h2>Download Worksheets</h2>

52 <h3>Problem 1</h3>

53 <p>There are 19 teams and 1007 fans. How will they distribute the fans equally among the teams?</p>

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

55 <p>They will have 53 fans each.</p>

56 <h3>Explanation</h3>

57 <p>To distribute the fans equally, we need to divide the total fans by the number of teams.</p>

58 <p>1007/19 = 53</p>

59 <p>Well explained 👍</p>

60 <h3>Problem 2</h3>

61 <p>A rectangular painting has a length of 53 cm and a total area of 1007 square cm. Find the width.</p>

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

63 <p>19 cm.</p>

64 <h3>Explanation</h3>

65 <p>To find the width of the painting, we use the formula,</p>

66 <p>Area = length × width</p>

67 <p>1007 = 53 × width</p>

68 <p>To find the value of width, we need to shift 53 to the left side.</p>

69 <p>1007/53 = width</p>

70 <p>Width = 19.</p>

71 <p>Well explained 👍</p>

72 <h3>Problem 3</h3>

73 <p>There are 53 boxes and 1007 candies. How many candies will be in each box?</p>

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

75 <p>Each box will have 19 candies.</p>

76 <h3>Explanation</h3>

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

78 <p>1007/53 = 19</p>

79 <p>Well explained 👍</p>

80 <h3>Problem 4</h3>

81 <p>In a competition, there are 1007 participants, and 19 groups. How many participants are there in each group?</p>

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

83 <p>There are 53 participants in each group.</p>

84 <h3>Explanation</h3>

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

86 <p>1007/19 = 53</p>

87 <p>Well explained 👍</p>

88 <h3>Problem 5</h3>

89 <p>1007 books need to be arranged in 19 shelves. How many books will go on each shelf?</p>

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

91 <p>Each of the shelves has 53 books.</p>

92 <h3>Explanation</h3>

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

94 <p>1007/19 = 53</p>

95 <p>Well explained 👍</p>

96 <h2>FAQs on Factors of 1007</h2>

97 <h3>1.What are the factors of 1007?</h3>

98 <p>1, 19, 53, 1007 are the factors of 1007.</p>

99 <h3>2.Mention the prime factors of 1007.</h3>

100 <p>The prime factors of 1007 are 19 × 53.</p>

101 <h3>3.Is 1007 a multiple of 19?</h3>

102 <h3>4.Mention the factor pairs of 1007.</h3>

103 <p>(1, 1007) and (19, 53) are the factor pairs of 1007.</p>

104 <h3>5.What is the square of 1007?</h3>

105 <p>The<a>square</a>of 1007 is 1,014,049.</p>

106 <h2>Important Glossaries for Factor of 1007</h2>

107 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1007 are 1, 19, 53, and 1007. </li>

108 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 19 and 53 are prime factors of 1007. </li>

109 <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 1007 are (1, 1007) and (19, 53). </li>

110 <li><strong>Prime factorization:</strong>The process of breaking down a composite number into its prime factors. For example, the prime factorization of 1007 is 19 × 53. </li>

111 <li><strong>Negative factors:</strong>The negative counterparts of the positive factors of a number. For example, the negative factors of 1007 are -1, -19, -53, and -1007.</li>

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

113 <p>▶</p>

114 <h2>Hiralee Lalitkumar Makwana</h2>

115 <h3>About the Author</h3>

116 <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>

117 <h3>Fun Fact</h3>

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