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Number System: Factors Video Lecture | Quantitative Aptitude (Quant) - CAT

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FAQs on Number System: Factors Video Lecture - Quantitative Aptitude (Quant) - CAT

1. What are factors in the number system?
Ans.Factors are the numbers that divide another number evenly without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, as each of these numbers can be multiplied by another whole number to get 12.
2. How can I find the factors of a given number?
Ans.To find the factors of a given number, start by dividing the number by 1 and then continue dividing by consecutive whole numbers until you reach the number itself. If the division results in a whole number, both the divisor and the quotient are factors of the original number.
3. What is the difference between factors and multiples?
Ans.Factors are numbers that divide another number evenly, while multiples are the result of multiplying a number by integers. For example, the factors of 6 are 1, 2, 3, and 6, whereas the multiples of 6 include 6, 12, 18, and so on.
4. Are prime numbers also factors?
Ans.Yes, prime numbers are factors of themselves and can also be factors of other numbers. A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself. For example, 2 and 3 are prime numbers and factors of 6.
5. How do factors relate to the concept of prime factorization?
Ans.Prime factorization is the process of breaking down a composite number into its prime factors. This means expressing the number as a product of prime factors. For instance, the prime factorization of 30 is 2 × 3 × 5, where 2, 3, and 5 are all prime factors of 30.
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