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1 - <p>219 Learners</p>

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2 <p>Last updated on<strong>December 11, 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 -42, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of -42?</h2>

5 <p>The<a>numbers</a>that divide -42 evenly are known as<a>factors</a><a>of</a>-42.</p>

6 <p>A factor of -42 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of -42 are 1, 2, 3, 6, 7, 14, 21, and 42.</p>

8 <p>Negative factors of -42: -1, -2, -3, -6, -7, -14, -21, and -42.</p>

9 <p>Prime factors of -42: 2, 3, and 7.</p>

10 <p><strong>Prime factorization of -42:</strong>-1 × 2 × 3 × 7.</p>

11 <p>The<a>sum</a>of positive factors of 42: 1 + 2 + 3 + 6 + 7 + 14 + 21 + 42 = 96</p>

12 <h2>How to Find Factors of -42?</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 -42. Identifying the numbers which are multiplied to get the number -42 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply -42 by 1, -42 × 1 = -42.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give -42 after multiplying 2 × -21 = -42</p>

21 <p>3 × -14 = -42</p>

22 <p>6 × -7 = -42</p>

23 <p>Therefore, the positive factor pairs of -42 are: (1, -42), (2, -21), (3, -14), (6, -7).</p>

24 <p>For every positive factor, there is a negative factor pair.</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<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<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 -42 by 1, -42 ÷ 1 = -42.</p>

28 <p><strong>Step 1:</strong>Divide -42 by 1, -42 ÷ 1 = -42.</p>

30 <p><strong>Step 2:</strong>Continue dividing -42 by the numbers until the remainder becomes 0.</p>

29 <p><strong>Step 2:</strong>Continue dividing -42 by the numbers until the remainder becomes 0.</p>

31 <p>-42 ÷ 1 = -42</p>

30 <p>-42 ÷ 1 = -42</p>

32 <p>-42 ÷ 2 = -21</p>

31 <p>-42 ÷ 2 = -21</p>

33 <p>-42 ÷ 3 = -14</p>

32 <p>-42 ÷ 3 = -14</p>

34 <p>-42 ÷ 6 = -7</p>

33 <p>-42 ÷ 6 = -7</p>

35 <p>Therefore, the factors of -42 are: 1, 2, 3, 6, 7, 14, 21, and 42.</p>

34 <p>Therefore, the factors of -42 are: 1, 2, 3, 6, 7, 14, 21, and 42.</p>

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

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

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

36 <p>The factors can be found by dividing them with<a>prime numbers</a>. We can find the prime factors 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>Using Prime Factorization: In this process, prime factors of -42 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

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

41 <p>42 ÷ 2 = 21</p>

40 <p>42 ÷ 2 = 21</p>

42 <p>21 ÷ 3 = 7</p>

41 <p>21 ÷ 3 = 7</p>

43 <p>7 ÷ 7 = 1</p>

42 <p>7 ÷ 7 = 1</p>

44 <p>The prime factors of -42 are 2, 3, and 7.</p>

43 <p>The prime factors of -42 are 2, 3, and 7.</p>

45 <p>The prime factorization of -42 is: -1 × 2 × 3 × 7.</p>

44 <p>The prime factorization of -42 is: -1 × 2 × 3 × 7.</p>

46 <h3>Factor Tree</h3>

45 <h3>Factor Tree</h3>

47 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show </p>

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

48 <p><strong>Step 1:</strong>Firstly, -42 is divided by 2 to get -21.</p>

47 <p><strong>Step 1:</strong>Firstly, -42 is divided by 2 to get -21.</p>

49 <p><strong>Step 2:</strong>Now divide -21 by 3 to get -7.</p>

48 <p><strong>Step 2:</strong>Now divide -21 by 3 to get -7.</p>

50 <p><strong>Step 3:</strong>Here, -7 is the smallest prime number that cannot be divided anymore.</p>

49 <p><strong>Step 3:</strong>Here, -7 is the smallest prime number that cannot be divided anymore.</p>

51 <p>So, the prime factorization of -42 is: -1 × 2 × 3 × 7.</p>

50 <p>So, the prime factorization of -42 is: -1 × 2 × 3 × 7.</p>

52 <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>

51 <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>

53 <p>Positive factor pairs of -42: (1, -42), (2, -21), (3, -14), and (6, -7).</p>

52 <p>Positive factor pairs of -42: (1, -42), (2, -21), (3, -14), and (6, -7).</p>

54 <p>Negative factor pairs of -42: (-1, 42), (-2, 21), (-3, 14), and (-6, 7).</p>

53 <p>Negative factor pairs of -42: (-1, 42), (-2, 21), (-3, 14), and (-6, 7).</p>

55 <h2>Common Mistakes and How to Avoid Them in Factors of -42</h2>

54 <h2>Common Mistakes and How to Avoid Them in Factors of -42</h2>

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>

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>

57 <h3>Problem 1</h3>

56 <h3>Problem 1</h3>

58 <p>There are 42 students and -42 apples. How will they distribute them equally?</p>

57 <p>There are 42 students and -42 apples. How will they distribute them equally?</p>

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

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

60 <p>Each student will get -1 apple.</p>

59 <p>Each student will get -1 apple.</p>

61 <h3>Explanation</h3>

60 <h3>Explanation</h3>

62 <p>To distribute the apples equally, we need to divide the total apples by the number of students.</p>

61 <p>To distribute the apples equally, we need to divide the total apples by the number of students.</p>

63 <p>-42/42 = -1</p>

62 <p>-42/42 = -1</p>

64 <p>Well explained 👍</p>

63 <p>Well explained 👍</p>

65 <h3>Problem 2</h3>

64 <h3>Problem 2</h3>

66 <p>A field is rectangular, the width of the field is 7 meters, and the total area is -42 square meters. Find the length?</p>

65 <p>A field is rectangular, the width of the field is 7 meters, and the total area is -42 square meters. Find the length?</p>

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

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

68 <p>-6 meters.</p>

67 <p>-6 meters.</p>

69 <h3>Explanation</h3>

68 <h3>Explanation</h3>

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

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

71 <p>-42 = length × 7</p>

70 <p>-42 = length × 7</p>

72 <p>To find the value of length, we need to shift 7 to the left side.</p>

71 <p>To find the value of length, we need to shift 7 to the left side.</p>

73 <p>-42/7 = length</p>

72 <p>-42/7 = length</p>

74 <p>Length = -6.</p>

73 <p>Length = -6.</p>

75 <p>Well explained 👍</p>

74 <p>Well explained 👍</p>

76 <h3>Problem 3</h3>

75 <h3>Problem 3</h3>

77 <p>There are 14 boxes and -42 marbles. How many marbles will be in each box?</p>

76 <p>There are 14 boxes and -42 marbles. How many marbles will be in each box?</p>

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

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

79 <p>Each box will have -3 marbles.</p>

78 <p>Each box will have -3 marbles.</p>

80 <h3>Explanation</h3>

79 <h3>Explanation</h3>

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

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

82 <p>-42/14 = -3</p>

81 <p>-42/14 = -3</p>

83 <p>Well explained 👍</p>

82 <p>Well explained 👍</p>

84 <h3>Problem 4</h3>

83 <h3>Problem 4</h3>

85 <p>In a class, there are -42 books and 3 shelves. How many books are there on each shelf?</p>

84 <p>In a class, there are -42 books and 3 shelves. How many books are there on each shelf?</p>

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

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

87 <p>There are -14 books on each shelf.</p>

86 <p>There are -14 books on each shelf.</p>

88 <h3>Explanation</h3>

87 <h3>Explanation</h3>

89 <p>Dividing the books by the total shelves, we will get the number of books on each shelf.</p>

88 <p>Dividing the books by the total shelves, we will get the number of books on each shelf.</p>

90 <p>-42/3 = -14</p>

89 <p>-42/3 = -14</p>

91 <p>Well explained 👍</p>

90 <p>Well explained 👍</p>

92 <h3>Problem 5</h3>

91 <h3>Problem 5</h3>

93 <p>42 chairs need to be arranged in 6 rows. How many chairs will go in each row?</p>

92 <p>42 chairs need to be arranged in 6 rows. How many chairs will go in each row?</p>

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

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

95 <p>Each row will have 7 chairs.</p>

94 <p>Each row will have 7 chairs.</p>

96 <h3>Explanation</h3>

95 <h3>Explanation</h3>

97 <p>Divide the total chairs by rows.</p>

96 <p>Divide the total chairs by rows.</p>

98 <p>42/6 = 7</p>

97 <p>42/6 = 7</p>

99 <p>Well explained 👍</p>

98 <p>Well explained 👍</p>

100 <h2>FAQs on Factors of -42</h2>

99 <h2>FAQs on Factors of -42</h2>

101 <h3>1.What are the factors of -42?</h3>

100 <h3>1.What are the factors of -42?</h3>

102 <p>1, 2, 3, 6, 7, 14, 21, and 42 are the factors of -42.</p>

101 <p>1, 2, 3, 6, 7, 14, 21, and 42 are the factors of -42.</p>

103 <h3>2.Mention the prime factors of -42.</h3>

102 <h3>2.Mention the prime factors of -42.</h3>

104 <p>The prime factors of -42 are -1 × 2 × 3 × 7.</p>

103 <p>The prime factors of -42 are -1 × 2 × 3 × 7.</p>

105 <h3>3.Is -42 a multiple of 7?</h3>

104 <h3>3.Is -42 a multiple of 7?</h3>

106 <h3>4.Mention the factor pairs of -42?</h3>

105 <h3>4.Mention the factor pairs of -42?</h3>

107 <p>(1, -42), (2, -21), (3, -14), and (6, -7) are the factor pairs of -42.</p>

106 <p>(1, -42), (2, -21), (3, -14), and (6, -7) are the factor pairs of -42.</p>

108 <h3>5.What is the square of -42?</h3>

107 <h3>5.What is the square of -42?</h3>

109 <h2>Important Glossaries for Factor of -42</h2>

108 <h2>Important Glossaries for Factor of -42</h2>

110 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -42 are 1, 2, 3, 6, 7, 14, 21, and 42.</li>

109 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -42 are 1, 2, 3, 6, 7, 14, 21, and 42.</li>

111 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2, 3, and 7 are prime factors of -42.</li>

110 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2, 3, and 7 are prime factors of -42.</li>

112 </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 -42 are (1, -42), (2, -21), etc.</li>

111 </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 -42 are (1, -42), (2, -21), etc.</li>

113 </ul><ul><li><strong>Negative factors:</strong>Factors that are negative, meaning when multiplied they give the original negative number. For example, -1, -2, -3, etc., are negative factors of -42.</li>

112 </ul><ul><li><strong>Negative factors:</strong>Factors that are negative, meaning when multiplied they give the original negative number. For example, -1, -2, -3, etc., are negative factors of -42.</li>

114 </ul><ul><li><strong>Prime factorization:</strong>The process of expressing a number as a product of its prime factors. For example, the prime factorization of -42 is -1 × 2 × 3 × 7.</li>

113 </ul><ul><li><strong>Prime factorization:</strong>The process of expressing a number as a product of its prime factors. For example, the prime factorization of -42 is -1 × 2 × 3 × 7.</li>

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

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

116 <p>▶</p>

115 <p>▶</p>

117 <h2>Hiralee Lalitkumar Makwana</h2>

116 <h2>Hiralee Lalitkumar Makwana</h2>

118 <h3>About the Author</h3>

117 <h3>About the Author</h3>

119 <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 <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>

120 <h3>Fun Fact</h3>

119 <h3>Fun Fact</h3>

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

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