Question

Which one of the following statements is false?

• A. If a number is divisible by two Co-Prime Numbers, then it is also divisible by the product of those Co-Prime Numbers.
• B. 2 is the only even and the smallest prime number.
• C. Every number (except 1 and 2) will have at least 3 factors.
• D. Prime Factorisation means using only Prime Numbers to write the Factors of a number.

Answer 1

The correct option is C Every number (except 1 and 2) will have at least 3 factors.

If a number is divisible by two Co-Prime Numbers, then it is also divisible by the product of those Co-Prime Numbers.

Ex - 4 and 3 are coprime numbers and 36 is divisible by both, so it is also divisible by their product i.e 12.

2 is the only even and the smallest prime number.

Every number (except 1 and 2) will have at least 3 factors.
This statement is wrong. Take any prime number greater than 2, let’s take 7, it has only
two factors 1 and 7.

Prime Factorisation means using only Prime Numbers to write the Factors of a number.
Ex - 36 = 2x2x3x3