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Visual Worksheet: Factors | Mathematics (Maths Mela) Class 5 - New NCERT PDF Download

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FAQs on Visual Worksheet: Factors - Mathematics (Maths Mela) Class 5 - New NCERT

1. What are factors in mathematics?
Ans.Factors are the numbers that you can multiply together to get another number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because 1 x 12 = 12, 2 x 6 = 12, and 3 x 4 = 12.
2. How do you find the factors of a given number?
Ans.To find the factors of a number, you can start by dividing the number by 1 and then continue with all whole numbers up to that number. If a whole number divides evenly into the given number (with no remainder), then it is a factor. For example, to find the factors of 15, you check 1, 2, 3, 4, 5, and 15. The factors are 1, 3, 5, and 15.
3. What is the difference between prime factors and composite factors?
Ans.Prime factors are the factors of a number that are prime numbers, meaning they have only two factors: 1 and themselves. For example, the prime factors of 30 are 2, 3, and 5. Composite factors, on the other hand, are factors that are not prime; they can be divided into smaller factors. For example, 6 is a composite factor of 30 because it can be divided into 2 and 3.
4. Can a number have more than one set of factors?
Ans.No, a particular number has a unique set of factors. However, the same factors can be arranged in different orders. For example, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, and this set does not change regardless of how they are ordered.
5. Why are factors important in mathematics?
Ans.Factors are important because they help in simplifying fractions, finding the greatest common divisor (GCD), and performing operations like factoring polynomials. Understanding factors also enhances problem-solving skills and helps in various applications in algebra and number theory.
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