# If Q is a factor of 18 and T is prime numbers between 2 and 18…

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## If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q Ո T?

• A. (2, 3)
• B. (2, 3, 6)
• C. (2, 3, 9)
• D. (2, 3, 18)

A

## SOLUTION…

Factors of 18 are positive whole numbers that can divide 18 without a remainder.

Prime numbers are numbers that can be divided by only 1 and itself.

Given:

Q = factor of 18 = (2, 3, 6, and 9)

T = prime numbers between 2 and 18 = (2, 3, 5, 7, 11, 13, and 17)

Therefore, Q Ո T = elements found in both = (2, 3)

### Now for the right answer to the above question:

1. Option A is correct.
2. Option B is incorrect. 6 is not a prime number, it can be completely divided by 2 and 3.
3. C is incorrect. 9 is not a prime number, it can be divided by 3.
4. D is not the correct answer. 18 is not a prime number, it can be wholly be divided by 2, 3, 6, and 9.

## KEY-POINTS…

• Prime numbers are numbers that will always have a remainder when divided by any number except 1 and the number itself.
• The symbol ‘Ո’ signifies intersection, this is basically elements found in two intersecting sets.

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/ culled from 2016 JAMB-UTME mathematics past question 41 /