Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
The number of factors of any prime number is:
1
2
4
3
2
Recall the definition of a prime number: a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.
The question asks for the number of factors of any prime number.
n=2
Recall the definition of a prime number: a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.
Confusing factors with prime factors; a prime number has only one prime factor (itself), but exactly two total factors (1 and itself).
Recall definition of prime number
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
PтИИN,P>1
Identify factors of a prime number
By definition, a prime number p is divisible only by 1 and by itself (p).
Factors┬аof┬аp={1,p}
Count the number of factors
The set of factors contains exactly two elements: 1 and p. Therefore, the total count is 2.
n=2
B is correct because by definition, every prime number has exactly two distinct positive divisors, which are 1 and the number itself.
This concept is foundational for finding Highest Common Factors (HCF) and Lowest Common Multiples (LCM) using prime factorization methods.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants