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1 - <p>379 Learners</p>

1 + <p>425 Learners</p>

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

3 <p>Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.</p>

4 <h2>What are the factors of 275?</h2>

5 <p>Factors are the<a>numbers</a>that help us divide things equally without any leftovers. Let’s learn about the Factors<a>of</a>275 which are 1,5,11,25,55 and 275. The number has both positive and negative<a>integers</a>that divide 275 without leaving any<a>remainder</a>. </p>

6 <h2>How to find the factors of 275?</h2>

7 <p>Factors help us divide numbers equally, making calculations faster and easier. Few methods used by the children for solving<a>factors</a>are as follows - </p>

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

9 <p>In this method, we take two numbers and find the<a>product</a>of those two numbers to get the required number.</p>

10 <p>Example:</p>

11 <p>11×25=275</p>

12 <p>1×275=275</p>

13 <p>5 × 55=275</p>

14 <p> which means that 1, 5,11,25,55, and 275 are the factors of 275.</p>

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

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

18 <p>We divide 275 by numbers starting from 1 and see which number gives the remainder of 0.</p>

17 <p>We divide 275 by numbers starting from 1 and see which number gives the remainder of 0.</p>

19 <p>275 1=275</p>

18 <p>275 1=275</p>

20 <p>275 5=55</p>

19 <p>275 5=55</p>

21 <p>275 11=25</p>

20 <p>275 11=25</p>

22 <p>So the factors are 1, 5,11,25,55, and 275.</p>

21 <p>So the factors are 1, 5,11,25,55, and 275.</p>

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

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

24 <p>The breaking down of numbers as<a>prime factors</a>is called prime factorization. The factors of 275 are:</p>

23 <p>The breaking down of numbers as<a>prime factors</a>is called prime factorization. The factors of 275 are:</p>

25 <p>275= 5 × 5 × 11 </p>

24 <p>275= 5 × 5 × 11 </p>

26 <h3>Factor tree</h3>

25 <h3>Factor tree</h3>

27 <p>A<a>factor tree</a>shows how a number can be parted down into prime factors.275 is broken down into two factors, 1, 5,11,25,55, and 275. </p>

26 <p>A<a>factor tree</a>shows how a number can be parted down into prime factors.275 is broken down into two factors, 1, 5,11,25,55, and 275. </p>

28 <h2>Factor Pairs</h2>

27 <h2>Factor Pairs</h2>

29 <p>Positive and negative pairs:</p>

28 <p>Positive and negative pairs:</p>

30 <p>A number should have both positive and negative factors:</p>

29 <p>A number should have both positive and negative factors:</p>

31 <p>Positive Pairs: (1, 275), (5, 55), (11, 25)</p>

30 <p>Positive Pairs: (1, 275), (5, 55), (11, 25)</p>

32 <p>Negative Pairs: (-1, -275), (-5, -55), (-11, -25)</p>

31 <p>Negative Pairs: (-1, -275), (-5, -55), (-11, -25)</p>

33 <h2>Common Mistakes and How to Avoid Them in Factors of 275</h2>

32 <h2>Common Mistakes and How to Avoid Them in Factors of 275</h2>

34 <p>While learning about factors of 275, students may likely make mistakes, to avoid a few mistakes solutions are given below: </p>

33 <p>While learning about factors of 275, students may likely make mistakes, to avoid a few mistakes solutions are given below: </p>

34 + <h2>Download Worksheets</h2>

35 <h3>Problem 1</h3>

36 <p>Find the sum of all positive factors of 275.</p>

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

38 <p>Sum of the factors: 1+5+11+25+55+275=372, we add all the factors of 372. </p>

39 <h3>Explanation</h3>

40 <p>The factors of 275 are: 1,5,11,25,55, and 275.</p>

41 <p>Step 1: Sum the factors:</p>

42 <p>1+5+11+25+55+275=372</p>

43 <p>Answer: The sum of all positive factors of 275 is 372. </p>

44 <p>Well explained 👍</p>

45 <h3>Problem 2</h3>

46 <p>Find the GCF of 275 and 330.</p>

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

48 <p>55 is the largest common factor for both these numbers</p>

49 <h3>Explanation</h3>

50 <p>Factors of 275: 1, 5, 11, 25, 55, 275</p>

51 <p>Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330</p>

52 <p>GCF: The largest common factor is 55.</p>

53 <p>The largest factor common to both numbers is 55. </p>

54 <p>Well explained 👍</p>

55 <h3>Problem 3</h3>

56 <p>Find the pairs of numbers that multiply to give 275.</p>

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

58 <p>The pairs are (1,275), (5,55), and (11,25). </p>

59 <h3>Explanation</h3>

60 <p>5×55=275</p>

61 <p>11×25=275</p>

62 <p>1×275=275</p>

63 <p>So, the factors are 1, 5, 11, 25, 55, and 275.</p>

64 <p>Well explained 👍</p>

65 <h2>FAQs on Factors of 275</h2>

66 <h3>1.What is the prime factorization of 275?</h3>

67 <p>The prime factorization of 275 is 275= 5 × 5 × 11. </p>

68 <h3>2.Is 275 a multiple of 25?</h3>

69 <p>Yes, 275 a<a>multiple</a>of 25. When we divide 275/25 gives 11. The multiples of 25 are 25,50,75,100,125,150,175,200,225,250,275,300. </p>

70 <h3>3.Is 275 a perfect cube?</h3>

71 <p>No 275 is not a<a>perfect cube</a>, 275 lies between 343, so we get<a>decimal</a>values and not whole numbers. Therefore, 275 is a perfect cube. </p>

72 <h3>4.What number is 275 divisible by?</h3>

73 <p> To check the divisibility, we find the number which divides it evenly. It is divisible by these numbers: 2,3,4,5,6,7,8,9,10,11. </p>

74 <h3>5.What is the GCF of 165 and 275?</h3>

75 <p>Factors of 165: </p>

76 <p>165=3x5x11</p>

77 <p>Factors of 275: </p>

78 <p>275=5x5x11</p>

79 <p>55 is the GCF of 165 and 275. </p>

80 <h2>Important Glossaries for Factors of 275</h2>

81 <ul><li><strong>Prime Factorization:</strong>It is a method to break down a number into prime factors, for example: 2 x 79.</li>

82 </ul><ul><li><strong>Divisibility:</strong>A number is said to be divisible by a certain number, when we divide a number it should give a whole number and not a decimal.</li>

83 </ul><ul><li><strong>Even number:</strong>A number that when divided by 2 gives a whole number.</li>

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

85 <p>▶</p>