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2 <p>Last updated on<strong>December 11, 2025</strong></p>

3 <p>Factors of any number are the whole numbers that can divide the number completely. Why are factors important to learn? For mathematical approaches, factors are used in organizing and bringing more efficiency to any task. In this article, let's learn how to solve factors of 6 easily.</p>

4 <h2>What are the Factors of 6?</h2>

5 <p>Factors<a>of</a>6 are those<a>numbers</a>that can divide 6 perfectly. The<a>factors</a>of 6 are:</p>

6 <p>1,2,3, and 6.</p>

7 <p><strong>Negative factors of 6:</strong>-1, -2, -3 -6</p>

8 <p><strong>Prime factors of 6:</strong>2,3</p>

9 <p><strong>Prime factorization of 6:</strong>3×2</p>

10 <p><strong>The<a>sum</a>of factors of 6:</strong>1+2+3+6=12 </p>

11 <h2>How to Find the Factors of 6</h2>

12 <p>For finding factors of 6, we will be learning these below-mentioned methods:</p>

13 <ul><li>Multiplication Method</li>

14 </ul><ul><li>Division Method</li>

15 </ul><ul><li>Prime Factor and Prime Factorization</li>

16 </ul><ul><li>Factor Tree</li>

17 </ul><h3>Finding Factors using Multiplication Methods</h3>

18 <p>This particular method often finds the pair of factors which, on<a>multiplication</a>together, produces 6. Let us find the pairs which, on multiplication, yields 6.</p>

19 <p>1×6=6</p>

20 <p>2×3=6</p>

21 <p>From this, we conclude that, factors of 6 are:1,2,3, and 6. </p>

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24 <h3>Finding Factors using Division Method</h3>

23 <h3>Finding Factors using Division Method</h3>

25 <p>The<a>division</a>method finds the numbers that evenly divides the given number 6. To find the factors of 6, we have to divide 6 by all possible<a>natural numbers</a><a>less than</a>6 and check.</p>

24 <p>The<a>division</a>method finds the numbers that evenly divides the given number 6. To find the factors of 6, we have to divide 6 by all possible<a>natural numbers</a><a>less than</a>6 and check.</p>

26 <p>1,2,3,6 are the only factors that the number 6 has. So to verify the factors of 6 using the division method, we just need to divide 6 by each factor.</p>

25 <p>1,2,3,6 are the only factors that the number 6 has. So to verify the factors of 6 using the division method, we just need to divide 6 by each factor.</p>

27 <p>6/1 =6</p>

26 <p>6/1 =6</p>

28 <p>6/2 =3</p>

27 <p>6/2 =3</p>

29 <p>6/3=2</p>

28 <p>6/3=2</p>

30 <p>6/6=1</p>

29 <p>6/6=1</p>

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

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

32 <p>Prime Factorization is the easiest process to<a>find prime factors</a>. It decomposes 6 into a<a>product</a>of its prime<a>integers</a>.</p>

31 <p>Prime Factorization is the easiest process to<a>find prime factors</a>. It decomposes 6 into a<a>product</a>of its prime<a>integers</a>.</p>

33 <p>Prime Factors of 6: 2,3.</p>

32 <p>Prime Factors of 6: 2,3.</p>

34 <p>Prime Factorization of 6: 3×2 </p>

33 <p>Prime Factorization of 6: 3×2 </p>

35 <h3>Factor tree</h3>

34 <h3>Factor tree</h3>

36 <p>The number 6 is written on top and two branches are extended.</p>

35 <p>The number 6 is written on top and two branches are extended.</p>

37 <p>Fill in those branches with a factor pair of the number above,<a>i</a>.e., 6.</p>

36 <p>Fill in those branches with a factor pair of the number above,<a>i</a>.e., 6.</p>

38 <p>Continue this process until each branch ends with a prime factor (number).</p>

37 <p>Continue this process until each branch ends with a prime factor (number).</p>

39 <p>The first two branches of the<a>factor tree</a>of 6 are 2 and 3. </p>

38 <p>The first two branches of the<a>factor tree</a>of 6 are 2 and 3. </p>

40 <p><strong>Factor Pairs</strong></p>

39 <p><strong>Factor Pairs</strong></p>

41 <p>Positive pair factors: (1,6), (2,3)</p>

40 <p>Positive pair factors: (1,6), (2,3)</p>

42 <p>Negative pair factors: (-1,-6), (-2,-3)</p>

41 <p>Negative pair factors: (-1,-6), (-2,-3)</p>

43 <h2>Common Mistakes and How to Avoid Them in Factors of 6</h2>

42 <h2>Common Mistakes and How to Avoid Them in Factors of 6</h2>

44 <p>Children quite often make silly mistakes while solving factors. Let us see what are the common errors to occur and how to avoid them. </p>

43 <p>Children quite often make silly mistakes while solving factors. Let us see what are the common errors to occur and how to avoid them. </p>

44 + <h2>Download Worksheets</h2>

45 <h3>Problem 1</h3>

46 <p>A man has 6 shirts and 18 ties. He wants to divide them equally among some poor people. What is the maximum number of people he can distribute?</p>

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

48 <p>Number of shirts: 6</p>

49 <p>Number of ties: 18</p>

50 <p>Factors of 6: 1,2,3,6</p>

51 <p>Factors of 18: 1,2,3,6,9,18</p>

52 <p>Common factors of 6 and 18: 1,2,3,6.</p>

53 <p>Greatest common factor of 6 and 18: 6</p>

54 <p>So, there will be 6 people for distribution.</p>

55 <p>Answer: 6 people</p>

56 <h3>Explanation</h3>

57 <p>To divide equally, the maximum number of people can be found through the Greatest Common Factor. Here, we found the GCF, which is the answer. </p>

58 <p>Well explained 👍</p>

59 <h3>Problem 2</h3>

60 <p>Two airplanes leave the airport at the same time. One leaves every 6 hours and the other every 12 hours. When will they leave together again?</p>

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

62 <p>Time-lapse of the 1st airplane: 6 hours</p>

63 <p>Time-lapse of the 2nd airplane: 12 hours</p>

64 <p>Prime factorization of 6: 2×3</p>

65 <p>Prime factorization of 12: 22×3</p>

66 <p>LCM of 6 and 12: 22×3 = 12.</p>

67 <p>Both the airplanes will meet each other after 12 hours.</p>

68 <p>Answer: 12 hours </p>

69 <h3>Explanation</h3>

70 <p>To find the time again when two airplanes will meet, we have to find the LCM of the two given time-lapses. So, did prime factorization of both 6 and 12. The LCM is the product of the highest power of each factor. </p>

71 <p>Well explained 👍</p>

72 <h3>Problem 3</h3>

73 <p>Find the GCF of 6 and 4</p>

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

75 <p>Factors of 6: 1,2,3,6</p>

76 <p>Factors of 4 : 1,2,4</p>

77 <p>Common factors of 6 and 4: 1,2</p>

78 <p>So, the Greatest Common Factor of 6 and 4 is 2.</p>

79 <p>Answer: 2 </p>

80 <h3>Explanation</h3>

81 <p>We first listed out the factors of 6 and 4 and then found the common factors and then identified the greatest common factor from the common list. </p>

82 <p>Well explained 👍</p>

83 <h3>Problem 4</h3>

84 <p>Find the smallest number that is divisible by 2,6,18 and 27.</p>

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

86 <p>Prime factorization of 2: 2×1. </p>

87 <p>Prime factorization of 6: 3×2</p>

88 <p>Prime factorization of 18: 32×2</p>

89 <p>Prime factorization of 27: 33</p>

90 <p>LCM of 2,6,18 and 27: 2×33 = 54</p>

91 <p>Answer: 54 is the smallest number which is divisible by 2,6,18,27. </p>

92 <h3>Explanation</h3>

93 <p>To find the smallest number which is divisible by 2,6,18,27, we need to find the LCM of these numbers. </p>

94 <p>Well explained 👍</p>

95 <h3>Problem 5</h3>

96 <p>Find the LCM of 6 and 5</p>

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

98 <p>Prime factorization of 6: 2×3.</p>

99 <p>Prime factorization of 5: 5×1</p>

100 <p>LCM of 6 and 5: 3×2×5 = 30.</p>

101 <p>Answer: 30 </p>

102 <h3>Explanation</h3>

103 <p>Did prime factorization of both 6 and 5. The LCM is the product of the highest power of each factor. </p>

104 <p>Well explained 👍</p>

105 <h2>FAQs on Factors of 6</h2>

106 <h3>1.Is 6 a factor of 18?</h3>

107 <p>Yes, 6 is a factor of 18, 18/6=3. </p>

108 <h3>2.What is the factor of negative 6?</h3>

109 <p> Factors of -6 are: (1,-6), (-1,6), (2,-3), (-2,3). </p>

110 <h3>3.Is 12 a factor of 6?</h3>

111 <p> 12 is not a factor of 6, since 12 is already<a>greater than</a>6. But 12 is a multiple of 6. </p>

112 <h3>4.Is 24 a multiple of 6?</h3>

113 <p>Yes, 24 is a multiple of 6, since, 6 divides 24 perfectly. 24/6=4. </p>

114 <h3>5. Is 6 a factor of 100?</h3>

115 <p>No, 6 is not a factor of 100, since, 100/6=16.667, which is not a perfect division. </p>

116 <h2>Important Glossaries for Factors of 6</h2>

117 <ul><li><strong>Ratio -</strong>Ratio of two numbers compares between them, how many times one number contains the other number. It is expressed as m:n, where m and n are two positive numbers whose ratio is to be shown.</li>

118 </ul><ul><li><strong>Factors -</strong>These are numbers that divide the given number without leaving any remainder or the remainder as 0.</li>

119 </ul><ul><li><strong>Prime Factorization -</strong>It involves factoring the number into its prime factors.</li>

120 </ul><ul><li><strong>Prime factors -</strong>These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.</li>

121 </ul><ul><li><strong>Composite numbers -</strong>These are numbers having more than two factors.</li>

122 </ul><ul><li><strong>Multiple -</strong>It is a product of the given number and any other integer. </li>

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

124 <p>▶</p>

125 <h2>Hiralee Lalitkumar Makwana</h2>

126 <h3>About the Author</h3>

127 <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>

128 <h3>Fun Fact</h3>

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