Class 5 Exam > Class 5 Notes > Mathematics for Class 5 > Visual Worksheet: Factor Tree
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FAQs on Visual Worksheet: Factor Tree - Mathematics for Class 5
| 1. What is a factor tree and how is it used in mathematics? |  |
Ans. A factor tree is a visual representation used to break down a number into its prime factors. It starts with a number at the top and branches out into pairs of factors until all the factors are prime numbers. This method helps in understanding the prime factorization of a number.
| 2. How do you create a factor tree for the number 60? | |
Ans. To create a factor tree for 60, start by dividing it into two factors, such as 6 and 10. Then, break down 6 into 2 and 3 (both prime), and 10 into 2 and 5 (both prime). The complete factor tree shows that 60 = 2 x 2 x 3 x 5.
| 3. Why is prime factorization important in mathematics? | |
Ans. Prime factorization is important because it helps in simplifying fractions, finding the least common multiple (LCM), and greatest common divisor (GCD) of numbers. It also plays a crucial role in number theory and cryptography.
| 4. Can a number have more than one factor tree? | |
Ans. Yes, a number can have multiple factor trees because there are different ways to factor a number. For example, for 12, you could start with 3 and 4 or with 2 and 6, leading to different branching paths but ultimately arriving at the same prime factors.
| 5. What are the benefits of using a factor tree in learning? | |
Ans. Using a factor tree helps students visualize the process of factorization, enhances their understanding of prime numbers, and provides a systematic approach to breaking down numbers. It can make learning about factors and multiples more engaging and easier to grasp.
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Document Description: Visual Worksheet: Factor Tree for Class 5 2025 is part of Mathematics for Class 5 preparation.
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