Question

State whether the given statement is true or false. For a number greater than $10$ to be prime, the possible digits in the units place are $1,3,7and9.$

• A. True
• B. False

Answer 1

The correct option is A True

Lets understand with example : As we know that the digits can end with any of the number $0,1,2,3,4,5,6,7,8,and9$.

Now Numbers ending with the digits $0,2,4,6,and8$ will be Even number. Hence, any number multiple/ divisor of 2 will not be a prime number after $10$.

And Numbers ending with the digit $5$ will also not be a prime number, because that number will be divisible by 5 and hence, it will not be a prime number.

Now we have left with the digits $1,3,7and9$.

Lets take the numbers ending with $1,3,7and9$. Clearly We observed $11,13,17,and19$ will be the prime numbers.

Hence, the possible digits in the units place are $1,3,7and9$