Question

Ram, Mohan, Shyam, each think of a number, that is a product of 2 different prime numbers. What could be the product of the three numbers?​

Answer 1

Step-by-step explanation:

if everyone is thinking of an prime number then the product will be a composite number.

Answer 2

The product of three prime numbers will always be a composite number.

• It is mentioned that Ram, Mohan, Shyam think of a number. The number is a product of two prime different prime numbers.

Example: The number 6 has two prime factors 2 and 3.

• A number is considered to be prime if the factors of the numbers are 1 and itself.

Example: 2 is considered as prime because it has only two factors which are 1 and 2. ( 1 and itself).

• A number is considered to be composite if it has more than 2 factors.

Example: 4 is considered as a composite number because it has 1, 2, and 4 as its factors.

• The product of two prime numbers is a composite number because it has more than two factors.

Example: 6 is a product of two prime numbers 2 and 3. The factors of 6 are 1,2,3 and 6. Hence 6 is a composite number.

• So, the product of the three numbers which are chosen by Ram, Mohan, and Shyam is a composite number.

Therefore, the product of the numbers chosen by Ram, Shyam, and Mohan would be a composite number.