F is the set of factors of 12. List the six elements of the set F. F = { , , , , , } The sets P and S are as follows: P is the set of all prime numbers S is the set of all square numbers (i.e. all numbers $n^2$, where $n \in \mathbb{N}$). The Venn diagram below shows the sets F, P, and S. Write each of the factors of 12 from part (a) into the correct region in the set F in the Venn diagram.

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F is the set of factors of 12 - Junior Cycle Mathematics - Question 4 - 2018

Question 4

F is the set of factors of 12. List the six elements of the set F. F = { , , , , , } The sets P and S are as follows: P is the set of all prime numbers S is the s... show full transcript

Worked Solution & Example Answer:F is the set of factors of 12 - Junior Cycle Mathematics - Question 4 - 2018

Step 1

List the six elements of the set F.

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Answer

The factors of 12 are the integers that divide 12 without leaving a remainder. The complete factor set is:

$F = \{1, 2, 3, 4, 6, 12\}$

Step 2

Write each of the factors of 12 from part (a) into the correct region in the set F in the Venn diagram.

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Answer

To correctly place the factors in the Venn diagram:

F (Factors of 12): 1, 2, 3, 4, 6, 12
P (Prime Numbers): 2, 3
S (Square Numbers): 1, 4

Placement:

In Region F only: 6, 12
In Region F and P: 2, 3
In Region F and S: 1, 4

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