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What are Factors? Video Lecture - Class 5

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1. What are factors in mathematics?
Ans. Factors in mathematics refer to the numbers that divide a given number evenly without leaving a remainder. In other words, factors are the whole numbers that can be multiplied together to get the original number.
2. How do you find the factors of a number?
Ans. To find the factors of a number, we can start by dividing the number by 1 and checking if it leaves a remainder of 0. If it does, then 1 is a factor. Then, we divide the number by 2 and check if it leaves a remainder of 0. We continue this process until we reach the number itself. The numbers that leave a remainder of 0 are the factors of the given number.
3. What is the difference between prime and composite factors?
Ans. Prime factors are the factors of a number that are prime numbers, meaning they can only be divided evenly by 1 and themselves. Composite factors, on the other hand, are the factors of a number that are not prime numbers and can be divided evenly by other numbers besides 1 and themselves.
4. Can a number have more than one set of factors?
Ans. Yes, a number can have more than one set of factors. For example, the number 12 has the factors 1, 2, 3, 4, 6, and 12. However, the number 24 also has the factors 1, 2, 3, 4, 6, 8, 12, and 24. Therefore, a number can have multiple sets of factors.
5. How can factors be used in real-life situations?
Ans. Factors are used in various real-life situations, such as finding the common factors of two or more numbers to simplify fractions, determining the factors of a given number to solve problems related to division and multiplication, and finding factors of numbers to analyze patterns and relationships in mathematics.
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