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2 <p>Last updated on<strong>December 12, 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 875, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 875?</h2>

5 <p>The<a>numbers</a>that divide 875 evenly are known as<a>factors</a><a>of</a>875.</p>

6 <p>A factor of 875 is a number that divides the number without a<a>remainder</a>.</p>

7 <p>The factors of 875 are 1, 5, 7, 25, 35, 125, 175, and 875.</p>

8 <p><strong>Negative factors of 875:</strong>-1, -5, -7, -25, -35, -125, -175, and -875.</p>

9 <p><strong>Prime factors of 875</strong>: 5 and 7.</p>

10 <p><strong>Prime factorization of 875:</strong>53 × 7.</p>

11 <p><strong>The<a>sum</a>of factors of 875:</strong>1 + 5 + 7 + 25 + 35 + 125 + 175 + 875 = 1248</p>

12 <h2>How to Find Factors of 875?</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 Prime factorization</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 875. Identifying the numbers which are multiplied to get the number 875 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 875 by 1, 875 × 1 = 875.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 875 after multiplying</p>

21 <p>5 × 175 = 875</p>

22 <p>7 × 125 = 875</p>

23 <p>25 × 35 = 875</p>

24 <p>Therefore, the positive factor pairs of 875 are: (1, 875), (5, 175), (7, 125), (25, 35).</p>

25 <p>All these factor pairs result in 875.</p>

26 <p>For every positive factor, there is a negative factor.</p>

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29 <h3>Finding Factors Using Division Method</h3>

28 <h3>Finding Factors Using Division Method</h3>

30 <p>Dividing the given numbers with the<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>Dividing the given numbers with the<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>

31 <p><strong>Step 1:</strong>Divide 875 by 1, 875 ÷ 1 = 875.</p>

30 <p><strong>Step 1:</strong>Divide 875 by 1, 875 ÷ 1 = 875.</p>

32 <p><strong>Step 2:</strong>Continue dividing 875 by the numbers until the remainder becomes 0.</p>

31 <p><strong>Step 2:</strong>Continue dividing 875 by the numbers until the remainder becomes 0.</p>

33 <p>875 ÷ 1 = 875</p>

32 <p>875 ÷ 1 = 875</p>

34 <p>875 ÷ 5 = 175</p>

33 <p>875 ÷ 5 = 175</p>

35 <p>875 ÷ 7 = 125</p>

34 <p>875 ÷ 7 = 125</p>

36 <p>875 ÷ 25 = 35</p>

35 <p>875 ÷ 25 = 35</p>

37 <p>Therefore, the factors of 875 are: 1, 5, 7, 25, 35, 125, 175, 875.</p>

36 <p>Therefore, the factors of 875 are: 1, 5, 7, 25, 35, 125, 175, 875.</p>

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

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

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

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

40 <ul><li>Using prime factorization </li>

39 <ul><li>Using prime factorization </li>

41 <li>Using<a>factor tree</a></li>

40 <li>Using<a>factor tree</a></li>

42 </ul><p>Using Prime Factorization: In this process, prime factors of 875 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

41 </ul><p>Using Prime Factorization: In this process, prime factors of 875 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

43 <p>875 ÷ 5 = 175</p>

42 <p>875 ÷ 5 = 175</p>

44 <p>175 ÷ 5 = 35</p>

43 <p>175 ÷ 5 = 35</p>

45 <p>35 ÷ 5 = 7</p>

44 <p>35 ÷ 5 = 7</p>

46 <p>7 ÷ 7 = 1</p>

45 <p>7 ÷ 7 = 1</p>

47 <p>The prime factors of 875 are 5 and 7.</p>

46 <p>The prime factors of 875 are 5 and 7.</p>

48 <p>The prime factorization of 875 is: 53 × 7.</p>

47 <p>The prime factorization of 875 is: 53 × 7.</p>

49 <h3>Factor Tree</h3>

48 <h3>Factor Tree</h3>

50 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows</p>

49 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows</p>

51 <p><strong>Step 1:</strong>Firstly, 875 is divided by 5 to get 175.</p>

50 <p><strong>Step 1:</strong>Firstly, 875 is divided by 5 to get 175.</p>

52 <p><strong>Step 2:</strong>Now divide 175 by 5 to get 35.</p>

51 <p><strong>Step 2:</strong>Now divide 175 by 5 to get 35.</p>

53 <p><strong>Step 3:</strong>Then divide 35 by 5 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 875 is: 53 × 7.</p>

52 <p><strong>Step 3:</strong>Then divide 35 by 5 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 875 is: 53 × 7.</p>

54 <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>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>

55 <p>Positive factor pairs of 875: (1, 875), (5, 175), (7, 125), (25, 35).</p>

54 <p>Positive factor pairs of 875: (1, 875), (5, 175), (7, 125), (25, 35).</p>

56 <p>Negative factor pairs of 875: (-1, -875), (-5, -175), (-7, -125), (-25, -35).</p>

55 <p>Negative factor pairs of 875: (-1, -875), (-5, -175), (-7, -125), (-25, -35).</p>

57 <h2>Common Mistakes and How to Avoid Them in Factors of 875</h2>

56 <h2>Common Mistakes and How to Avoid Them in Factors of 875</h2>

58 <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 <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>

58 + <h2>Download Worksheets</h2>

59 <h3>Problem 1</h3>

60 <p>There are 5 friends and 875 marbles. How will they divide it equally?</p>

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

62 <p>They will get 175 marbles each.</p>

63 <h3>Explanation</h3>

64 <p>To divide the marbles equally, we need to divide the total marbles by the number of friends.</p>

65 <p>875/5 = 175</p>

66 <p>Well explained 👍</p>

67 <h3>Problem 2</h3>

68 <p>A field is rectangular, the length of the field is 25 meters and the total area is 875 square meters. Find the width?</p>

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

70 <p>35 meters.</p>

71 <h3>Explanation</h3>

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

73 <p>875 = 25 × width</p>

74 <p>To find the value of width, we need to shift 25 to the left side.</p>

75 <p>875/25 = width</p>

76 <p>Width = 35.</p>

77 <p>Well explained 👍</p>

78 <h3>Problem 3</h3>

79 <p>There are 7 bags and 875 candies. How many candies will be in each bag?</p>

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

81 <p>Each bag will have 125 candies.</p>

82 <h3>Explanation</h3>

83 <p>To find the candies in each bag, divide the total candies by the bags.</p>

84 <p>875/7 = 125</p>

85 <p>Well explained 👍</p>

86 <h3>Problem 4</h3>

87 <p>In a class, there are 875 students, and 25 groups. How many students are there in each group?</p>

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

89 <p>There are 35 students in each group.</p>

90 <h3>Explanation</h3>

91 <p>Dividing the students by the total groups, we will get the number of students in each group.</p>

92 <p>875/25 = 35</p>

93 <p>Well explained 👍</p>

94 <h3>Problem 5</h3>

95 <p>875 books need to be arranged in 35 shelves. How many books will go on each shelf?</p>

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

97 <p>Each of the shelves has 25 books.</p>

98 <h3>Explanation</h3>

99 <p>Divide total books by shelves.</p>

100 <p>875/35 = 25</p>

101 <p>Well explained 👍</p>

102 <h2>FAQs on Factors of 875</h2>

103 <h3>1.What are the factors of 875?</h3>

104 <p>1, 5, 7, 25, 35, 125, 175, 875 are the factors of 875.</p>

105 <h3>2.Mention the prime factors of 875.</h3>

106 <p>The prime factors of 875 are 53 × 7.</p>

107 <h3>3.Is 875 a multiple of 5?</h3>

108 <h3>4.Mention the factor pairs of 875?</h3>

109 <p>(1, 875), (5, 175), (7, 125), (25, 35) are the factor pairs of 875.</p>

110 <h3>5.What is the square of 875?</h3>

111 <h2>Important Glossaries for Factor of 875</h2>

112 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 875 are 1, 5, 7, 25, 35, 125, 175, and 875.</li>

113 </ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 5 and 7 are prime factors of 875.</li>

114 </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 875 are (1, 875), (5, 175), etc.</li>

115 </ul><ul><li><strong>Prime factorization:</strong>A way of expressing a number as a product of its prime factors. For example, the prime factorization of 875 is 53 × 7.</li>

116 </ul><ul><li><strong>Multiplication method:</strong>A method used to find factors by identifying pairs of numbers that multiply to the target number, such as identifying (1, 875) as a factor pair of 875.</li>

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

118 <p>▶</p>

119 <h2>Hiralee Lalitkumar Makwana</h2>

120 <h3>About the Author</h3>

121 <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>

122 <h3>Fun Fact</h3>

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