Factors are numbers that divide a given number completely leaving no remainder. For example factors of 12 are 1 2 3 4 6 and 12. They help in simplifying fractions finding common multiples and solving various mathematical problems. Understanding factors is essential for learning concepts like prime numbers HCF and LCM.
Class 10 Maths Chapter 1 focuses on Real Numbers covering topics like Euclid’s Division Lemma prime factorization and the Fundamental Theorem of Arithmetic. It explores rational and irrational numbers HCF and LCM through examples. This chapter strengthens problem-solving skills for CBSE Exam 2024-25 and builds a foundation for advanced concepts in mathematics ensuring clarity in number systems and their applications.
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A prime number is defined as a number greater than 1 that has exactly two distinct positive divisors: 1 and the number itself. For example, if we consider the prime number 7, its only factors are 1 and 7.
Thus, by definition, any prime number will always have exactly two factors: 1 and the number itself. This makes the total number of factors of a prime number equal to 2.
The other options are incorrect because:
– “1” is incorrect since a prime number has two factors, not one.
– “Zero” is incorrect since every number has at least one factor (itself).
– “3” is incorrect since a prime number cannot have more than two factors.
Thus, the correct answer is 2.
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