Subject
Bank Exam
Topic
Pubali Bank Ltd. Senior Officer 2013
If both x and y are prime numbers, which of the following CANNOT be the product of x and y?
If both x and y are prime numbers, which of the following CANNOT be the product of x and y?
ক)
6খ)
10গ)
35ঘ)
27Explanation
6 = 2 × 3 10 = 3 × 5 35 = 5 × 7 27 = 3 × 9; Here 9 is not a prime number Here's why: Prime numbers are whole numbers greater than 1 that have only two factors: 1 and themselves. Examples of prime numbers include 2, 3, 5, 7, 11, 13, 17, 19, and so on. The product of two prime numbers is always a composite number, which means it has more than two factors. Let's analyze each option: A) 6 can be expressed as the product of two prime numbers: 2 × 3. B) 10 can be expressed as the product of two prime numbers: 2 × 5. C) 35 can be expressed as the product of two prime numbers: 5 × 7. D) 27 can only be expressed as the product of 3 × 9. However, 9 is not a prime number because it has factors other than 1 and itself (it has factors 1, 3, and 9). This means 27 cannot be the product of two prime numbers.Related questions
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