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

3 <p>Factors of any number are the dividers or multipliers that can divide the number fully and can be multiplied together to produce the given product, 153. Do you know, factors form the basic approach to solve some general mathematical procedures? This article will give you the insights of factors of 153.</p>

4 <h2>What are the Factors of 153?</h2>

5 <p>The<a>factors</a>of 153 or the<a>numbers</a>which divide 153 exactly are:</p>

6 <p>1,3,9,17,51, and 153.</p>

7 <ul><li><strong>Negative factors of 153:</strong>-1,-3,-9,-17,-51,-153.</li>

8 </ul><ul><li><strong>Prime factors of 153:</strong>3,17</li>

9 </ul><ul><li><strong>Prime factorization of 153:</strong>32×17</li>

10 </ul><ul><li><strong>The<a>sum</a>of factors of 153:</strong>1+3+9+17+51+153= 234 </li>

11 </ul><h2>How to Find the Factors of 153</h2>

12 <p>For finding factors of 153, 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><h2>Finding Factors using Multiplication Methods</h2>

18 <p>This particular method often finds the pair of factors which, on<a>multiplication</a>together, produces 153.</p>

19 <p>Let us find the pairs which, on multiplication, yields 153.</p>

20 <p>1×153=153</p>

21 <p>3×51=153</p>

22 <p>9×17=153</p>

23 <p>So, factors of 153 are: 1,3,9,17,51, and 153. </p>

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

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

27 <p>The<a>division</a>method finds the factors that evenly divides the given number 153. In this process, we have to divide 153 by all possible<a>natural numbers</a><a>less than</a>153 and check.</p>

26 <p>The<a>division</a>method finds the factors that evenly divides the given number 153. In this process, we have to divide 153 by all possible<a>natural numbers</a><a>less than</a>153 and check.</p>

28 <p>1,3,9,17,51, and 153 are the only factors that the number 153 has. So to verify the factors of 153 using the division method, we just need to divide 153 by each factor.</p>

27 <p>1,3,9,17,51, and 153 are the only factors that the number 153 has. So to verify the factors of 153 using the division method, we just need to divide 153 by each factor.</p>

29 <p>153/1 =153</p>

28 <p>153/1 =153</p>

30 <p>153/3=51</p>

29 <p>153/3=51</p>

31 <p>153/9=17</p>

30 <p>153/9=17</p>

32 <p>153/17=9</p>

31 <p>153/17=9</p>

33 <p>153/51=3</p>

32 <p>153/51=3</p>

34 <p>153/153=1</p>

33 <p>153/153=1</p>

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

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

36 <p>Prime Factorization is the easiest process to<a>find prime factors</a>. It decomposes 153 into a<a>product</a>of its prime<a>integers</a>.</p>

35 <p>Prime Factorization is the easiest process to<a>find prime factors</a>. It decomposes 153 into a<a>product</a>of its prime<a>integers</a>.</p>

37 <p><strong>Prime Factors of 153:</strong>3,17.</p>

36 <p><strong>Prime Factors of 153:</strong>3,17.</p>

38 <p><strong>Prime Factorization of 153:</strong>32×17</p>

37 <p><strong>Prime Factorization of 153:</strong>32×17</p>

39 <h3>Factor tree</h3>

38 <h3>Factor tree</h3>

40 <p>The number 153 is written on top and two branches are extended.</p>

39 <p>The number 153 is written on top and two branches are extended.</p>

41 <p>Fill in those branches with a factor pair of the number above, i.e., 153.</p>

40 <p>Fill in those branches with a factor pair of the number above, i.e., 153.</p>

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

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

43 <p>The first two branches of the<a>factor tree</a>of 153 are 9 and 17. Similarly, for 9, we end up having two branches, each with prime factor 3.</p>

42 <p>The first two branches of the<a>factor tree</a>of 153 are 9 and 17. Similarly, for 9, we end up having two branches, each with prime factor 3.</p>

44 <p>Factor Pairs</p>

43 <p>Factor Pairs</p>

45 <ul><li><strong>Positive pair factors: </strong>(1,153), (3,51), (9,17)</li>

44 <ul><li><strong>Positive pair factors: </strong>(1,153), (3,51), (9,17)</li>

46 </ul><ul><li><strong>Negative pair factors:</strong> (-1,-153), (-3,-51), (-9,-17).</li>

45 </ul><ul><li><strong>Negative pair factors:</strong> (-1,-153), (-3,-51), (-9,-17).</li>

47 </ul><h2>Common Mistakes and How to Avoid Them in Factors of 153</h2>

46 </ul><h2>Common Mistakes and How to Avoid Them in Factors of 153</h2>

48 <p>Solving problems based on factors can, sometimes, lead to misconceptions among children. Let us check what the common errors are and how to avoid them. </p>

47 <p>Solving problems based on factors can, sometimes, lead to misconceptions among children. Let us check what the common errors are and how to avoid them. </p>

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49 <h3>Problem 1</h3>

50 <p>A man has 153 shirts and 51 ties. He wants to divide them equally among some poor people. What is the maximum number of people he can distribute?</p>

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

52 <p>Number of shirts: 153</p>

53 <p>Number of ties: 51</p>

54 <p>Factors of 153: 1,3,9,17,51,153</p>

55 <p>Factors of 51: 1,3,17</p>

56 <p>Common factors of 51 and 153: 1,3,17</p>

57 <p>Greatest common factor of 51 and 153: 17</p>

58 <p>So, there will be 17 people for distribution.</p>

59 <p>Answer: 17 people </p>

60 <h3>Explanation</h3>

61 <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>

62 <p>Well explained 👍</p>

63 <h3>Problem 2</h3>

64 <p>Two airplanes leave the airport at the same time. One leaves every 17 hours and the other every 51 hours. When will they leave together again?</p>

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

66 <p> Time-lapse of the 1st airplane: 17 hours</p>

67 <p>Time-lapse of the 2nd airplane: 51 hours</p>

68 <p>Prime factorization of 17:17×1</p>

69 <p>Prime factorization of 51: 3×17</p>

70 <p>LCM of 17 and 51: 17×3 = 51.</p>

71 <p>Both the airplanes will meet each other after 51 hours.</p>

72 <p>Answer: 51 hours </p>

73 <h3>Explanation</h3>

74 <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 17 and 51. The LCM is the product of the highest power of each factor.</p>

75 <p>Well explained 👍</p>

76 <h3>Problem 3</h3>

77 <p>Find the GCF of 153 and 51</p>

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

79 <p> Factors of 153: 1,3,9,17,51,153</p>

80 <p>Factors of 51 : 1,3,17,51</p>

81 <p>Common factors of 153 and 51: 1, 3,17, 51</p>

82 <p>So, the Greatest Common Factor of 153 and 51 is 51.</p>

83 <p>Answer: 51 </p>

84 <h3>Explanation</h3>

85 <p>We first listed out the factors of 153 and 51 and then found the common factors and then identified the greatest common factor from the common list. </p>

86 <p>Well explained 👍</p>

87 <h3>Problem 4</h3>

88 <p>Find the smallest number that is divisible by 3,9,17 and 51.</p>

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

90 <p> Prime factorization of 3: 3×1.</p>

91 <p>Prime factorization of 9: 32</p>

92 <p>Prime factorization of 17: 17×1</p>

93 <p>Prime factorization of 51: 3×17</p>

94 <p>LCM of 3,9,17 and 51: 3×17= 51</p>

95 <p>Answer: 51 is the smallest number which is divisible by 3,9,17,51. </p>

96 <h3>Explanation</h3>

97 <p>To find the smallest number which is divisible by 3,9,17,51, we need to find the LCM of these numbers. </p>

98 <p>Well explained 👍</p>

99 <h3>Problem 5</h3>

100 <p>Find the LCM of 153 and 150</p>

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

102 <p> Prime factorization of 153: 32×17.</p>

103 <p>Prime factorization of 150: 52×2×3</p>

104 <p>LCM of 150 and 153: 32×2×52×17 = 7650.</p>

105 <p>Answer: 7650 </p>

106 <h3>Explanation</h3>

107 <p>Did prime factorization of both 150 and 153. The LCM is the product of the highest power of each factor.</p>

108 <p>Well explained 👍</p>

109 <h2>FAQs on Factors of 153</h2>

110 <h3>1.What are the multiples of 153?</h3>

111 <p> Multiples means the product we get by multiplying integers starting from 1, with 153. Let us list the first five multiples of 153: 153,306,459,612,765,... </p>

112 <h3>2.Is 153 divisible by 7?</h3>

113 <p>153 is only divisible by 1,3,9,17,51, 153, but not 7, since 153/7 leaves a<a>remainder</a>of 6. </p>

114 <h3>3.What is the GCF of 153 and 27?</h3>

115 <p>Factors of 153: 1,3,9,17,51,153</p>

116 <p>factors of 27: 1,3,9,27.</p>

117 <p>Common factors : 1,3,9</p>

118 <p>Greatest<a>common factor</a>: 9 </p>

119 <h3>4.What are co-prime numbers?</h3>

120 <p> Two numbers are said to be co-primes, where one is the co-prime of the other, and their GCF is 1. </p>

121 <h3>5.What is the LCM of 153 and 145?</h3>

122 <p>Prime factorization of 153= 32×17 Prime factorization of 145= 5×29 LCM of 87 and 145 = 32×5×17×29 = 22185 </p>

123 <h2>Important Glossaries for Factors of 153</h2>

124 <ul><li><strong>Multipliers -</strong>Number which multiplies or a number by which another number is multiplied.</li>

125 </ul><ul><li><strong>Dividers -</strong>A number that divides.</li>

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

127 </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>

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

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

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

131 <p>▶</p>

132 <h2>Hiralee Lalitkumar Makwana</h2>

133 <h3>About the Author</h3>

134 <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>

135 <h3>Fun Fact</h3>

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