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Original
2026-01-01
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2026-02-28
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<p>241 Learners</p>
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<p>Last updated on<strong>December 12, 2025</strong></p>
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<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 1224, how they are used in real life, and the tips to learn them quickly.</p>
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<h2>What are the Factors of 1224?</h2>
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<p>The<a>numbers</a>that divide 1224 evenly are known as<a>factors</a>of 1224. A factor of 1224 is a number that divides the number without<a>remainder</a>. The factors of 1224 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 612, and 1224.</p>
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<p>The<a>numbers</a>that divide 1224 evenly are known as<a>factors</a>of 1224. A factor of 1224 is a number that divides the number without<a>remainder</a>. The factors of 1224 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 612, and 1224.</p>
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<p><strong>Negative factors of 1224:</strong>-1, -2, -3, -4, -6, -8, -12, -17, -24, -34, -51, -68, -102, -136, -204, -289, -408, -578, -612, and -1224.</p>
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<p><strong>Negative factors of 1224:</strong>-1, -2, -3, -4, -6, -8, -12, -17, -24, -34, -51, -68, -102, -136, -204, -289, -408, -578, -612, and -1224.</p>
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<p><strong>Prime factors of 1224:</strong>2, 3, and 17.</p>
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<p><strong>Prime factors of 1224:</strong>2, 3, and 17.</p>
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<p><strong>Prime factorization of 1224:</strong>2³ × 3 × 17².</p>
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<p><strong>Prime factorization of 1224:</strong>2³ × 3 × 17².</p>
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<p><strong>The<a>sum</a>of factors of 1224:</strong>1 + 2 + 3 + 4 + 6 + 8 + 12 + 17 + 24 + 34 + 51 + 68 + 102 + 136 + 204 + 289 + 408 + 578 + 612 + 1224 = 3774</p>
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<p><strong>The<a>sum</a>of factors of 1224:</strong>1 + 2 + 3 + 4 + 6 + 8 + 12 + 17 + 24 + 34 + 51 + 68 + 102 + 136 + 204 + 289 + 408 + 578 + 612 + 1224 = 3774</p>
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<h2>How to Find Factors of 1224?</h2>
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<p>Factors can be found using different methods. Mentioned below are some commonly used methods:</p>
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<ol><li>Finding factors using<a>multiplication</a></li>
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<li>Finding factors using<a>division</a>method</li>
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<li>Prime factors and Prime factorization</li>
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</ol><h2>Finding Factors Using Multiplication</h2>
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<p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1224. Identifying the numbers which are multiplied to get the number 1224 is the multiplication method.</p>
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<p><strong>Step 1:</strong>Multiply 1224 by 1, 1224 × 1 = 1224.</p>
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<p><strong>Step 2:</strong>Check for other numbers that give 1224 after multiplying</p>
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<p>2 × 612 = 1224</p>
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<p>3 × 408 = 1224</p>
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<p>4 × 306 = 1224</p>
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<p>6 × 204 = 1224</p>
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<p>8 × 153 = 1224</p>
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<p>12 × 102 = 1224</p>
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<p>17 × 72 = 1224</p>
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<p>24 × 51 = 1224</p>
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<p>34 × 36 = 1224</p>
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<p>Therefore, the positive factor pairs of 1224 are: (1, 1224), (2, 612), (3, 408), (4, 306), (6, 204), (8, 153), (12, 102), (17, 72), (24, 51), and (34, 36). For every positive factor, there is a negative factor.</p>
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<h3>Explore Our Programs</h3>
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<p>No Courses Available</p>
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<h2>Finding Factors Using Division Method</h2>
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<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>
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<p><strong>Step 1:</strong>Divide 1224 by 1, 1224 ÷ 1 = 1224.</p>
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<p><strong>Step 2:</strong>Continue dividing 1224 by the numbers until the remainder becomes 0.</p>
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<p>1224 ÷ 1 = 1224</p>
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<p>1224 ÷ 2 = 612</p>
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<p>1224 ÷ 3 = 408</p>
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<p>1224 ÷ 4 = 306</p>
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<p>1224 ÷ 6 = 204</p>
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<p>1224 ÷ 8 = 153</p>
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<p>1224 ÷ 12 = 102</p>
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<p>1224 ÷ 17 = 72</p>
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<p>1224 ÷ 24 = 51</p>
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<p>1224 ÷ 34 = 36</p>
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<p>Therefore, the factors of 1224 are: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 612, 1224.</p>
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<h2>Prime Factors and Prime Factorization</h2>
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<p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the<a>prime factors</a>using the following methods:</p>
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<ul><li>Using prime factorization</li>
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<li>Using<a>factor tree</a></li>
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</ul><p><strong>Using Prime Factorization:</strong>In this process, prime factors of 1224 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>
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<p>1224 ÷ 2 = 612</p>
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<p>612 ÷ 2 = 306</p>
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<p>306 ÷ 2 = 153</p>
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<p>153 ÷ 3 = 51</p>
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<p>51 ÷ 3 = 17</p>
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<p>17 ÷ 17 = 1</p>
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<p>The prime factors of 1224 are 2, 3, and 17. The prime factorization of 1224 is: 2³ × 3 × 17².</p>
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<h2>Factor Tree</h2>
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<p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -</p>
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<p><strong>Step 1:</strong>Firstly, 1224 is divided by 2 to get 612.</p>
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<p><strong>Step 2:</strong>Now divide 612 by 2 to get 306.</p>
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<p><strong>Step 3:</strong>Then divide 306 by 2 to get 153.</p>
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<p><strong>Step 4:</strong>Divide 153 by 3 to get 51. Step 5: Divide 51 by 3 to get 17. Here, 17 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1224 is: 2³ × 3 × 17².</p>
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<p><strong>Factor Pairs:</strong>Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.</p>
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<ul><li>Positive factor pairs of 1224: (1, 1224), (2, 612), (3, 408), (4, 306), (6, 204), (8, 153), (12, 102), (17, 72), (24, 51), and (34, 36).</li>
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<li>Negative factor pairs of 1224: (-1, -1224), (-2, -612), (-3, -408), (-4, -306), (-6, -204), (-8, -153), (-12, -102), (-17, -72), (-24, -51), and (-34, -36).</li>
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</ul><h2>Common Mistakes and How to Avoid Them in Factors of 1224</h2>
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<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>
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<h3>Problem 1</h3>
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<p>There are 68 students and 1224 pencils. How will they distribute them equally?</p>
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<p>Okay, lets begin</p>
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<p>They will get 18 pencils each.</p>
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<h3>Explanation</h3>
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<p>To divide the pencils equally, we need to divide the total pencils by the number of students.</p>
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<p>1224/68 = 18</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<p>A concert hall can hold 1224 people. If the seating is arranged in 34 rows, how many seats are there per row?</p>
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<p>Okay, lets begin</p>
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<p>36 seats per row.</p>
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<h3>Explanation</h3>
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<p>To find the number of seats per row, use the formula,</p>
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<p>Total seats = rows × seats per row</p>
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<p>1224 = 34 × seats per row</p>
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<p>To find the value of seats per row, divide 1224 by 34.</p>
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<p>1224/34 = 36</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<p>There are 102 boxes and 1224 toys. How many toys will be in each box?</p>
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<p>Okay, lets begin</p>
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<p>Each box will have 12 toys.</p>
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<h3>Explanation</h3>
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<p>To find the toys in each box, divide the total toys by the number of boxes.</p>
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<p>1224/102 = 12</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<p>In a school, there are 51 classrooms and 1224 chairs. How many chairs are there in each classroom?</p>
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<p>Okay, lets begin</p>
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<p>There are 24 chairs in each classroom.</p>
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<h3>Explanation</h3>
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<p>Dividing the total chairs by the total classrooms, we will get the number of chairs in each classroom.</p>
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<p>1224/51 = 24</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<p>1224 books need to be arranged in 8 shelves. How many books will go on each shelf?</p>
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<p>Okay, lets begin</p>
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<p>Each shelf has 153 books.</p>
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<h3>Explanation</h3>
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<p>Divide total books by shelves.</p>
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<p>1224/8 = 153</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Factors of 1224</h2>
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<h3>1.What are the factors of 1224?</h3>
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<p>1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 612, and 1224 are the factors of 1224.</p>
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<h3>2.Mention the prime factors of 1224.</h3>
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<p>The prime factors of 1224 are 2³ × 3 × 17².</p>
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<h3>3.Is 1224 a multiple of 4?</h3>
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<h3>4.Mention the factor pairs of 1224?</h3>
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<p>(1, 1224), (2, 612), (3, 408), (4, 306), (6, 204), (8, 153), (12, 102), (17, 72), (24, 51), and (34, 36) are the factor pairs of 1224.</p>
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<h3>5.What is the square of 1224?</h3>
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<p>The<a>square</a>of 1224 is 1,498,176.</p>
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<h2>Important Glossaries for Factors of 1224</h2>
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<ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1224 are 1, 2, 3, 4, 6, etc.</li>
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</ul><ul><li><strong>Prime Factors:</strong>The factors which are prime numbers. For example, 2, 3, and 17 are prime factors of 1224.</li>
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</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 1224 are (1, 1224), (2, 612), etc.</li>
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</ul><ul><li><strong>Multiplication Method:</strong>A method to find factors by identifying pairs of numbers that multiply to give the target number.</li>
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</ul><ul><li><strong>Division Method:</strong>A method to find factors by dividing the number by whole numbers until the remainder is zero.</li>
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</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>▶</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h3>About the Author</h3>
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<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>
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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>