Identify the Mandatory Prime Factor in the Three-Digit Number 3?0

Question

I am a three-digit number 3?0 3?0

Which prime factor will surely appear among my first factors?

Video Solution

Step-by-Step Solution

To solve this problem, let's identify the prime factor that is certain to be a part of a number in the format 3?0 3?0 . This number always ends with 0, indicating it is divisible by 10.

Step-by-step Solution:

  • The number ends in 0: 3?0 3?0 . This means it is divisible by 10.
  • Since a number divisible by 10 contains the prime factors of 10, which are 2 and 5, it means both 2 and 5 are factors of any such number.
  • Out of the given prime factor options, 3, 5, 11, and 7, the prime factor 5 is certain to be present because every such number must end in 0, confirming divisibility by 5.

Thus, the prime factor that will surely appear among the first factors of a three-digit number in the format 3?0 3?0 is 5\mathbf{5}.

Answer

5 5