Question

Which is the greatest prime number factor of the smallest four digit odd ` number `?​

Answer 1

Answer:

Odd number

Odd number can be defined as the numbers which when divided by the 2, is not completely divisible and gives back a remainder along with a quotient. 3, 5, 7, 9, etc are all examples of odd numbers.

Answer and Explanation:

The smallest 4-digit number is 1000 but if we divide it by the number 2 , it is completely divisible and leaves behind no remainder.

The next possible number is 1001. This is an odd number as on dividing the number by number 2 will give 1 as a remainder.

So, the smallest 4-digit odd number is 1001.

Answer 2

Answer:

The smallest n - digit number is 10(n−1) for any positive Integer n . Its prime factors are therefore 2(n−1)⋅5(n−1) making 2 and 5 the only distinct prime factors.

In the case of n=4 , the smallest 4-digit number is 1000 whose prime factors are:

23⋅53=2×2×2×5×5×5