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4 For the universal set {whole numbers from 1 to 20
} draw separate Venn diagrams to show each of these subsets:
a multiples of 3
b multiples of 4
c multiples of 5
d factors of 20.
Which of these four subsets has the fewest members?

$4$ For the universal set \{whole numbers from $1$ to $20$ $\}$ draw separate Venn diagrams to show each of these subsets: $\newline$ a multiples of $3$ $\newline$ b multiples of $4$ $\newline$ c multiples of $5$ $\newline$ d factors of $20$ . $\newline$ Which of these four subsets has the fewest members?

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Prime factorization

Full solution

Q.

4

For the universal set \{whole numbers from

1

to

20

\}

draw separate Venn diagrams to show each of these subsets:

\newline

a multiples of

3

\newline

b multiples of

4

\newline

c multiples of

5

\newline

d factors of

20

.

\newline

Which of these four subsets has the fewest members?

List Whole Numbers: List out the whole numbers from $1$ to $20$ .
Identify Multiples of $3$ : Identify multiples of $3$ within the set: $3, 6, 9, 12, 15, 18$ .
Identify Multiples of $4$ : Identify multiples of $4$ within the set: $4, 8, 12, 16, 20$ .
Identify Multiples of $5$ : Identify multiples of $5$ within the set: $5, 10, 15, 20$ .
Identify Factors of $20$ : Identify factors of $20$ within the set: $1$ , $2$ , $4$ , $5$ , $10$ , $20$ .
Count Elements in Subsets: Count the number of elements in each subset: $\newline$ Multiples of $3$ : $6$ $\newline$ Multiples of $4$ : $5$ $\newline$ Multiples of $5$ : $4$ $\newline$ Factors of $20$ : $6$

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