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1 - <p>498 Learners</p>

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

3 <p>In mathematics, there are lots of numbers that when divided by other numbers leave no remainder, these numbers are called factors. We use it in our vehicles mileage and money handling. Now, we’ll learn what factors are and factors of 240 let us now see.</p>

4 <h3>Factors Of 240</h3>

5 <p>We can tell if a<a>number</a>has more than 2<a>factors</a>just by seeing if a number is a<a>prime number</a>or not. As none of the<a>even numbers</a>except 2 are prime numbers, we can tell that 240 has more than 2 factors. Let us find what the factors are.</p>

6 <p><strong>Negative factors of 240:</strong>-1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -40, -48, -60, -80, -120 and -240.</p>

7 <p><strong>Prime factors of 240:</strong>The<a>prime factors</a>of 240 are 2,3 and 5.</p>

8 <p><strong>Prime factorization of 240:</strong>2×2×2×2×3×5.</p>

9 <p><strong>The<a>sum</a>of factors of 240:</strong>1+2+3+4+5+6+8+10+12+15+16+20+24+30+40+48+60+80+120+240= 744 </p>

10 <h2>How to find the factors of 240</h2>

11 <p>Children use<a>multiple</a>ways to find factors of a number. Let us look at some ways we can use to find the factors of 240.</p>

12 <ul><li>Multiplication Method</li>

13 </ul><ul><li>Division Method</li>

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

15 </ul><h3>Finding The Factors Of 240 Using Multiplication</h3>

16 <p>In the<a>multiplication</a>method, we find pairs of numbers where the<a>product</a>will be 240. In this process, possible steps will be - </p>

17 <p><strong>Step 1:</strong>Find all those numbers whose product will be 240.</p>

18 <p><strong>Step 2:</strong>These numbers will be called the factors of 240.</p>

19 <p>Step 3: Students have to write these pairs of numbers for this method.</p>

20 <p>List of numbers whose product is 240</p>

21 <p>240×1= 240</p>

22 <p>120×2= 240</p>

23 <p>80×3= 240</p>

24 <p>60×4= 240</p>

25 <p>48×5= 240</p>

26 <p>40×6= 240</p>

27 <p>30×8= 240</p>

28 <p>24×10= 240</p>

29 <p>20×12= 240</p>

30 <p>16×15= 240</p>

31 <p>So the pair of numbers whose product is 240 are (1,240), (2,120), (3,80), (4,60), (5,48), (6,40), (8,30), (10,24), (12,20) and (15,16). </p>

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

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

35 <p>For the<a>division</a>method, the process of division will go on until the<a>remainder</a>becomes zero.</p>

34 <p>For the<a>division</a>method, the process of division will go on until the<a>remainder</a>becomes zero.</p>

36 <p><strong>Step 1:</strong>For the division method, always try the smallest number to start with. It is advisable to start dividing the number by 1, then both the number and 1 will be its factors. Example: 240÷1 = 240.</p>

35 <p><strong>Step 1:</strong>For the division method, always try the smallest number to start with. It is advisable to start dividing the number by 1, then both the number and 1 will be its factors. Example: 240÷1 = 240.</p>

37 <p><strong>Step 2:</strong>Then check with the next number to see whether the number is divided completely without any remainder. Both<a>divisor</a>and<a>quotient</a>are the factors. Example: 240÷5= 48 and so on.</p>

36 <p><strong>Step 2:</strong>Then check with the next number to see whether the number is divided completely without any remainder. Both<a>divisor</a>and<a>quotient</a>are the factors. Example: 240÷5= 48 and so on.</p>

38 <p> </p>

37 <p> </p>

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

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

40 <p><strong>Prime Factors Of 240:</strong>The prime factors of 240 are 2,3 and 7. We find the prime factors of 240 by two ways.</p>

39 <p><strong>Prime Factors Of 240:</strong>The prime factors of 240 are 2,3 and 7. We find the prime factors of 240 by two ways.</p>

41 <p><strong>Prime Factorization: </strong> Here we will divide the numbers by the smallest prime number. Till we completely divide the given number. For 240, the steps are like this:</p>

40 <p><strong>Prime Factorization: </strong> Here we will divide the numbers by the smallest prime number. Till we completely divide the given number. For 240, the steps are like this:</p>

42 <p>240/5= 48</p>

41 <p>240/5= 48</p>

43 <p>48/2= 24</p>

42 <p>48/2= 24</p>

44 <p>24/2= 12</p>

43 <p>24/2= 12</p>

45 <p>12/2= 6</p>

44 <p>12/2= 6</p>

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

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

47 <p>3/3= 1</p>

46 <p>3/3= 1</p>

48 <p>As 3 is a prime number, it is only divisible by 3. Hence, The prime factorization of the number 240 is 2×2×2×2×3×5. </p>

47 <p>As 3 is a prime number, it is only divisible by 3. Hence, The prime factorization of the number 240 is 2×2×2×2×3×5. </p>

49 <h3>Factor Tree</h3>

48 <h3>Factor Tree</h3>

50 <p>This is a very easy method because in many ways it’s almost the same as a prime factorization. We will break down huge numbers in this case to get what we call a<a>factor tree</a>.</p>

49 <p>This is a very easy method because in many ways it’s almost the same as a prime factorization. We will break down huge numbers in this case to get what we call a<a>factor tree</a>.</p>

51 <p><strong>Step 1:</strong>240 divided by 5 gives us the answer being 48.</p>

50 <p><strong>Step 1:</strong>240 divided by 5 gives us the answer being 48.</p>

52 <p><strong>Step 2:</strong>48 divided by 2 gives us 24.</p>

51 <p><strong>Step 2:</strong>48 divided by 2 gives us 24.</p>

53 <p><strong>Step 3</strong>: 24 divided by 2 gives us 12.</p>

52 <p><strong>Step 3</strong>: 24 divided by 2 gives us 12.</p>

54 <p><strong>Step 4:</strong>12 divided by 2 gives us 6.</p>

53 <p><strong>Step 4:</strong>12 divided by 2 gives us 6.</p>

55 <p><strong>Step 5:</strong>6 divided by 2 gives us 3.</p>

54 <p><strong>Step 5:</strong>6 divided by 2 gives us 3.</p>

56 <p><strong>Step 6:</strong>3 divided by 3 gives us 1.</p>

55 <p><strong>Step 6:</strong>3 divided by 3 gives us 1.</p>

57 <p><strong>Step 7:</strong>This can’t be divided any further.</p>

56 <p><strong>Step 7:</strong>This can’t be divided any further.</p>

58 <h3>Factor Pairs</h3>

57 <h3>Factor Pairs</h3>

59 <p>There are positive and negative factor pairs for a given number. Let us look at these factor pairs.</p>

58 <p>There are positive and negative factor pairs for a given number. Let us look at these factor pairs.</p>

60 <p><strong>Positive Factor Pairs:</strong>(1,240), (2,120), (3,80), (4,60), (5,48), (6,40), (8,30), (10,24), (12,20) and (15,16).</p>

59 <p><strong>Positive Factor Pairs:</strong>(1,240), (2,120), (3,80), (4,60), (5,48), (6,40), (8,30), (10,24), (12,20) and (15,16).</p>

61 <p><strong>Negative Factor Pairs:</strong>(-1,-240), (-2,-120), (-3,-80), (-4,-60), (-5,-48), (-6,-40), (-8,-30), (-10,-24), (-12,-20) and (-15,-16). </p>

60 <p><strong>Negative Factor Pairs:</strong>(-1,-240), (-2,-120), (-3,-80), (-4,-60), (-5,-48), (-6,-40), (-8,-30), (-10,-24), (-12,-20) and (-15,-16). </p>

62 <h2>Common mistakes and how to avoid them in the factors of 240</h2>

61 <h2>Common mistakes and how to avoid them in the factors of 240</h2>

63 <p>It is very normal to make mistakes when learning to find the factors. Here are the commonly made mistakes by children. Avoid these when practicing! </p>

62 <p>It is very normal to make mistakes when learning to find the factors. Here are the commonly made mistakes by children. Avoid these when practicing! </p>

63 + <h2>Download Worksheets</h2>

64 <h3>Problem 1</h3>

65 <p>A conference hall has 240 chairs. If each row can hold 12 chairs, how many rows can be set up?</p>

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

67 <p>There can be 20 rows.</p>

68 <h3>Explanation</h3>

69 <p> 240 chairs divided by 12 chairs per row gives 20 rows. So, 12 fits perfectly into 240. </p>

70 <p>Well explained 👍</p>

71 <h3>Problem 2</h3>

72 <p>A shop has 240 chocolates and wants to pack them into boxes, each containing 8 chocolates. How many boxes can be made?</p>

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

74 <p> 240 ÷ 8 = 30. The shop can make 30 boxes with 8 chocolates in each. </p>

75 <h3>Explanation</h3>

76 <p>Dividing 240 chocolates into boxes of 8 means there will be 30 boxes, with no chocolates left over. </p>

77 <p>Well explained 👍</p>

78 <h3>Problem 3</h3>

79 <p>There are 240 candies, and 15 friends want to share them equally. How many candies will each friend get?</p>

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

81 <p>Each friend will get 16 candies. </p>

82 <h3>Explanation</h3>

83 <p> When you divide 240 candies equally among 15 friends, each friend gets 16 candies with no leftovers. </p>

84 <p>Well explained 👍</p>

85 <h3>Problem 4</h3>

86 <p>A theater has 240 seats and wants to arrange them in rows of 10. How many rows can be arranged?</p>

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

88 <p>20 customers can be served. </p>

89 <h3>Explanation</h3>

90 <p> The pizza shop has 240 slices. Each customer buys 12 slices. Dividing 240 by 12 gives 20 customers. </p>

91 <p>Well explained 👍</p>

92 <h2>FAQs For Factors Of 240</h2>

93 <h3>1.What prime factors are for 240?</h3>

94 <p>The prime factors of 240 are 2, 3, and 5. This means 240 can be broken down into these smaller prime numbers. </p>

95 <h3>2.How many factors does 240 have in total?</h3>

96 <p> It has 20 total factors. One can compute total factors from a<a>formula</a>based on prime factorization<a>exponents</a>. </p>

97 <h3>3.Find out what is the smallest factor of 240.</h3>

98 <p> Every<a>positive integer</a>divisible by 1 has left the remainder 0, hence it’s smallest factor is 1. </p>

99 <h3>4.How many factor pairs are there for 240?</h3>

100 <p>240 can be factored as 1 × 240, 2 × 120, 3 × 80, 4 × 60, 5 × 48, 6 × 40, 8 × 30, 10 × 24, 12 × 20 and 15 × 16. They consist of 2 numbers that when you multiply one by the other, you get the number in<a>question</a>. </p>

101 <h3>5.How do you find the greatest common factor (GCF) of 240 and 60?</h3>

102 <p>The GCF of two numbers, such as 240 and 60, is the largest factor they share, which in this case is 60. </p>

103 <h2>Glossaries For Factors Of 240</h2>

104 <ul><li><strong>Prime Factorization:</strong>The process of expressing a number as the product of its prime factors. For instance, the prime factorization of 240 is 24×3×5.</li>

105 </ul><ul><li><strong>Greatest Common Factor (GCF):</strong>The largest factor that two or more numbers share. For 240 and 60, the GCF is 60.</li>

106 </ul><ul><li><strong>Whole Numbers:</strong>Non-negative numbers without fractions or decimals, including 0. Examples are 0, 1, 2, 3, etc.</li>

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

108 <p>▶</p>

109 <h2>Hiralee Lalitkumar Makwana</h2>

110 <h3>About the Author</h3>

111 <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>

112 <h3>Fun Fact</h3>

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