This math topic focuses on finding and understanding the distinct factors of given numbers. It develops skills in identifying all possible factors of numbers and is an introductory exploration into factoring within the broader units of factoring and Venn Factor diagrams. Students are challenged to determine sets of factors from various number pairs across several questions, reinforcing their understanding of basic multiplication, division, and number properties.

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Finding Lowest Common Multiple Distinct Factors Worksheet

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Finding Lowest Common Multiple Distinct Factors
1
Find the set of all the distinct prime factors of these numbers
3, 9
a
{3, 3}
b
{7, 3, 4, 2, 4}
c
{3}
d
{3, 3, 3}
e
{3, 7, 2, 6}
f
{3, 3, 7, 4, 4}
2
Find the set of all the distinct prime factors of these numbers
9, 6
a
{4, 3, 2}
b
{3, 7, 2}
c
{3, 3, 2, 3}
d
{3, 2}
e
{3, 3, 2}
f
{5, 3, 2}
3
Find the set of all the distinct prime factors of these numbers
8, 4
a
{2, 2, 2}
b
{6, 2, 2}
c
{2, 2, 4}
d
{2, 2}
e
{4, 2, 2}
f
{2, 2, 3}
4
Find the set of all the distinct prime factors of these numbers
5, 4
a
{2, 2, 2, 5, 4}
b
{4, 2, 2}
c
{3, 2, 2}
d
{5, 6, 2}
e
{5, 2, 2}
f
{2, 2, 4, 3, 3}
5
Find the set of all the distinct prime factors of these numbers
6, 2
a
{2, 5, 6, 6}
b
{2, 3, 6}
c
{2, 4, 7, 4, 6}
d
{2, 3}
e
{2, 3, 4}
f
{3}
6
Find the set of all the distinct prime factors of these numbers
3, 4
a
{3, 2, 6, 6, 2}
b
{3, 5, 2}
c
{3, 2}
d
{3, 2, 2}
e
{3, 2, 7, 4, 5}
f
{3, 2, 2, 5}
7
Find the set of all the distinct prime factors of these numbers
10, 6
a
{2, 5, 3, 6}
b
{4, 5, 3}
c
{5, 3, 2, 3, 6}
d
{2, 3, 4, 6, 5}
e
{2, 5, 3}
f
{3, 5, 3}
8
Find the set of all the distinct prime factors of these numbers
4, 5
a
{2, 2, 5}
b
{2, 5}
c
{2, 2, 5, 5}
d
{6, 2, 5}
e
{2, 2, 5, 6}
f
{2, 2, 6}