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1 - <p>337 Learners</p>

1 + <p>372 Learners</p>

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

3 <p>A factor is a number that divides another number evenly without any remainder. We use factors for arranging items or dividing quantities evenly. Let’s learn and see what are the factors of 155.</p>

4 <h2>What are the factors of 155?</h2>

5 <p>Every<a>number</a>, except 1 and 0, will have a minimum<a>of</a>2<a>factors</a>. </p>

6 <p><strong>Factors of 155:</strong>1,155, 5, 31<strong>Negative factors of 155:</strong>-1,-155,-5,-31<strong>Prime factorization of 155:</strong>5×31<strong>Sum of factors:</strong>1+155+5+31=192 </p>

7 <h2>How to find the factors of 155?</h2>

8 <p>The methods mentioned below can be used to find the factors of 155. Use any factor-finding method that is easy for you. </p>

9 <p>- Multiplication method - Division method - Prime factorization and<a>prime factors</a>method - Factor tree method </p>

10 <h3>Finding Factors Using Multiplication</h3>

11 <p>Find the pair of numbers which when multiplied gives 155.</p>

12 <p>155 is a<a>composite number</a>because it has more than 2 factors.</p>

13 <p>The factor pairs of 155 are</p>

14 <p><strong>Positive factor pairs :</strong>(1,155) (5,31) <strong>Negative factor pairs :</strong>(-1,-155) (-5,-31)</p>

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17 <h3>Finding Factors by Division Method</h3>

16 <h3>Finding Factors by Division Method</h3>

18 <p>Start dividing 155 with small numbers and check the<a>remainder</a>.</p>

17 <p>Start dividing 155 with small numbers and check the<a>remainder</a>.</p>

19 <p>Dividend = Divisor x Quotient + Remainder</p>

18 <p>Dividend = Divisor x Quotient + Remainder</p>

20 <p>The factors of 155 are 1,5,31,155 and -1,-5,-31,-155. </p>

19 <p>The factors of 155 are 1,5,31,155 and -1,-5,-31,-155. </p>

21 <h2>Prime Factors and Prime Factorization</h2>

20 <h2>Prime Factors and Prime Factorization</h2>

22 <ul><li>Prime factors of 155: 5,31</li>

21 <ul><li>Prime factors of 155: 5,31</li>

23 </ul><ul><li>The prime factorization of 155= 5×31</li>

22 </ul><ul><li>The prime factorization of 155= 5×31</li>

24 </ul><ul><li>The positive factors of 155 are 1,5,31,155. The negative factors are -1,-155,-5,-31. </li>

23 </ul><ul><li>The positive factors of 155 are 1,5,31,155. The negative factors are -1,-155,-5,-31. </li>

25 </ul><h3>Factor tree</h3>

24 </ul><h3>Factor tree</h3>

26 <p>Factor tree is a graphical representation of breaking down any number into prime factors.</p>

25 <p>Factor tree is a graphical representation of breaking down any number into prime factors.</p>

27 <p>In case of 155, </p>

26 <p>In case of 155, </p>

28 <p><strong>Step 1:</strong>First, we write the number on top (in this case, 155). From there, it will be broken down into 2 parts.</p>

27 <p><strong>Step 1:</strong>First, we write the number on top (in this case, 155). From there, it will be broken down into 2 parts.</p>

29 <p><strong>Step 2:</strong>Fill in the factor pairs of 155 in separate steps. In this step, the number will be factorized into 5 and 31.</p>

28 <p><strong>Step 2:</strong>Fill in the factor pairs of 155 in separate steps. In this step, the number will be factorized into 5 and 31.</p>

30 <p><strong>Step 3:</strong>From this we can find that the prime factors of 5 and 31. This is how the<a>factor tree</a>helps students visualize the factors more easily. </p>

29 <p><strong>Step 3:</strong>From this we can find that the prime factors of 5 and 31. This is how the<a>factor tree</a>helps students visualize the factors more easily. </p>

31 <h3>Factor Pairs</h3>

30 <h3>Factor Pairs</h3>

32 <p>Factor pairs are a<a>combination</a>of two numbers, a and b, whose<a>product</a>is equal to 155. So, over here, a and b are a factor pair of 155.</p>

31 <p>Factor pairs are a<a>combination</a>of two numbers, a and b, whose<a>product</a>is equal to 155. So, over here, a and b are a factor pair of 155.</p>

33 <p>The factor pairs of 155 are</p>

32 <p>The factor pairs of 155 are</p>

34 <p>Positive factor pairs -- (1,155) (5,31) Negative factor pairs -- (-1,-155) (-5,-31)</p>

33 <p>Positive factor pairs -- (1,155) (5,31) Negative factor pairs -- (-1,-155) (-5,-31)</p>

35 <h2>Common mistakes and how to avoid them in the factors of 155</h2>

34 <h2>Common mistakes and how to avoid them in the factors of 155</h2>

36 <p>It can get really tricky when trying to learn factors, and there is nothing to worry about. We will now take a look at some common mistakes made by students when learning factors. </p>

35 <p>It can get really tricky when trying to learn factors, and there is nothing to worry about. We will now take a look at some common mistakes made by students when learning factors. </p>

36 + <h2>Download Worksheets</h2>

37 <h3>Problem 1</h3>

38 <p>If 155 students are divided equally into groups, what are the possible sizes of the groups?</p>

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

40 <p>To determine the possible group sizes, we need the factors of 155:</p>

41 <p>The factors are 1, 5, 31, and 155. Therefore, the possible group sizes are:</p>

42 <p>1 student per group: 155 groups 5 students per group: 31 groups 31 students per group: 5 groups 155 students per group: 1 group </p>

43 <h3>Explanation</h3>

44 <p> The possible sizes of the groups are: 1,5,31,155.</p>

45 <p>Well explained 👍</p>

46 <h3>Problem 2</h3>

47 <p>A teacher has 155 books. If she wants to arrange them into rows of equal size without any remainder, what are the different ways she can arrange the books?</p>

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

49 <p>We already know the factors of 155 are 1,5,31 and 155. The teacher can arrange the books in:</p>

50 <p>1 row of 155 books 5 rows of 31 books 31 rows of 5 books 155 rows of 1 book </p>

51 <h3>Explanation</h3>

52 <p>Thus, the different ways she can arrange the books are 1,5,31,155. </p>

53 <p>Well explained 👍</p>

54 <h3>Problem 3</h3>

55 <p>Verify the factor pairs of 155.</p>

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

57 <p>List of potential pairs: Consider (x, y) such that x×y=155</p>

58 <p>Starting with x=1: y=155</p>

59 <p>Then x=5: y=31</p>

60 <p>No other integers up to square root of 155 can form pairs that yield 155.</p>

61 <p>Confirmed pairs: Pairs are (1,155) and (5,31)</p>

62 <p>Final factor list: Factors are 1,5,31,155 </p>

63 <h3>Explanation</h3>

64 <p>This is how we verify the factor pairs of the number 155. </p>

65 <p>Well explained 👍</p>

66 <h2>FAQs on 155 factors</h2>

67 <h3>1. What is the factor tree of 155?</h3>

68 <p>We start by dividing 155 with 5 to get 31. It gives 5 and 31. 5 and 31 are prime numbers. Factor tree is a graphical representation of any composite number into combinations of prime numbers.</p>

69 <h3>2. What is the perfect square factorization of 155?</h3>

70 <p>155 as the product of its prime factors is written as, 155= 5×31 We simply break the number into their smaller factors and express the number above. </p>

71 <h3>3. What are the multiples of 155?</h3>

72 <p>The multiples of 155 up to the count of 10 are 155, 310, 465, 620, 930, 1085, 1240, 1395 and 1550.</p>

73 <h3>4.Is 155 a multiple of 11?</h3>

74 <p>Factors of 155 are 1,5,31,155. 11 is not on the list of factors. 155 is not a multiple of 11. Another way to check the same is by dividing the numbers. If a remainder is left, we can conclude it is not divisible by the number.</p>

75 <p>155/11 = 14.091. </p>

76 <h3>5.What is 155 square root?</h3>

77 <h2>Important Glossaries for Factors of 155</h2>

78 <ul><li><strong>Factors:</strong>Factors are numbers that, when multiplied together, result in a given number. Example: Factors of 12 are:1 × 12 = 12, 2 × 6 = 12, 3 × 4 = 12. Here, 1, 2, 6, 3, 4 and 12 are the factors of 12.</li>

79 </ul><ul><li><strong>Greatest Common Factor (GCF):</strong>The greatest number that divides the given number exactly and is a common factor for the given number is called GCF. An example for GCF is: The GCF of 1500, 10, and 100 is 10. Because it is the greatest factor that is common for all three numbers.</li>

80 </ul><ul><li><strong>Prime number:</strong>Any number greater than 1 and has only 2 factors is called a prime number. Example: 811/1 = 811 and 811/811 = 1. We can see that 811 can be divided exactly by only 2 numbers. Those two numbers are 1 and 811.</li>

81 </ul><ul><li><strong>Divisor:</strong>Any number that divides another number exactly and leaves no remainder is called a divisor. When we divide 12 by 3, we get a quotient of 4. Here, the divisor is 3 and the dividend is 12. </li>

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

83 <p>▶</p>

84 <h2>Hiralee Lalitkumar Makwana</h2>

85 <h3>About the Author</h3>

86 <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>

87 <h3>Fun Fact</h3>

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