Simplifying Multiplication with Factors - Composite to Bracketed Factors (Level 1)

This math topic focuses on simplifying multiplication by expressing composite numbers as factors within brackets. It involves breaking down numbers into their constituent factors and arranging those factors in bracketed groups, enhancing skills in factoring, multiplication, and division. This foundational topic aims to strengthen understanding of mathematical relationships between numbers through factorization. Each question provides a different set of composite numbers for simplification, challenging the learner to identify the correct arrangement of factors.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Factoring - Simplifying Multiplication with Factors - Composite to Bracketed Factors Worksheet

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Factoring - Simplifying Multiplication with Factors - Composite to Bracketed Factors
1
Simplify this multiplication to bracketed factors
A LaTex expression showing 15 multiplied by 21
a A LaTex expression showing (3 multiplied by 7) multiplied by (3 multiplied by 7)
b A LaTex expression showing (1 multiplied by 7) multiplied by (1 multiplied by 7)
c A LaTex expression showing (3 multiplied by 3) multiplied by (3 multiplied by 7)
d A LaTex expression showing (1 multiplied by 7) multiplied by (2 multiplied by 7)
e A LaTex expression showing (3 multiplied by 5) multiplied by (3 multiplied by 7)
f A LaTex expression showing (4 multiplied by 7) multiplied by (1 multiplied by 7)
2
Simplify this multiplication to bracketed factors
A LaTex expression showing 7 multiplied by 98
a A LaTex expression showing (1) multiplied by (4 multiplied by 3 multiplied by 7)
b A LaTex expression showing (2) multiplied by (2 multiplied by 8 multiplied by 7)
c A LaTex expression showing (1) multiplied by (1 multiplied by 3 multiplied by 7)
d A LaTex expression showing (3) multiplied by (5 multiplied by 3 multiplied by 7)
e A LaTex expression showing (7) multiplied by (2 multiplied by 7 multiplied by 7)
f A LaTex expression showing (1) multiplied by (1 multiplied by 8 multiplied by 7)
3
Simplify this multiplication to bracketed factors
A LaTex expression showing 3 multiplied by 12
a A LaTex expression showing (1) multiplied by (6 multiplied by 2 multiplied by 3)
b A LaTex expression showing (3) multiplied by (2 multiplied by 2 multiplied by 3)
c A LaTex expression showing (1) multiplied by (2 multiplied by 2 multiplied by 3)
d A LaTex expression showing (1) multiplied by (6 multiplied by 2 multiplied by 7)
e A LaTex expression showing (1) multiplied by (1 multiplied by 4 multiplied by 7)
f A LaTex expression showing (1) multiplied by (1 multiplied by 2 multiplied by 7)
4
Simplify this multiplication to bracketed factors
A LaTex expression showing 14 multiplied by 21
a A LaTex expression showing (1 multiplied by 2) multiplied by (1 multiplied by 7)
b A LaTex expression showing (1 multiplied by 7) multiplied by (1 multiplied by 7)
c A LaTex expression showing (2 multiplied by 7) multiplied by (1 multiplied by 7)
d A LaTex expression showing (3 multiplied by 7) multiplied by (1 multiplied by 7)
e A LaTex expression showing (2 multiplied by 7) multiplied by (3 multiplied by 7)
f A LaTex expression showing (1 multiplied by 6) multiplied by (3 multiplied by 7)
5
Simplify this multiplication to bracketed factors
A LaTex expression showing 63 multiplied by 7
a A LaTex expression showing (6 multiplied by 3 multiplied by 7) multiplied by (7)
b A LaTex expression showing (3 multiplied by 3 multiplied by 11) multiplied by (7)
c A LaTex expression showing (3 multiplied by 3 multiplied by 7) multiplied by (7)
d A LaTex expression showing (6 multiplied by 3 multiplied by 11) multiplied by (7)
e A LaTex expression showing (1 multiplied by 3 multiplied by 7) multiplied by (7)
6
Simplify this multiplication to bracketed factors
A LaTex expression showing 9 multiplied by 21
a A LaTex expression showing (2 multiplied by 1) multiplied by (1 multiplied by 7)
b A LaTex expression showing (2 multiplied by 3) multiplied by (3 multiplied by 7)
c A LaTex expression showing (3 multiplied by 1) multiplied by (1 multiplied by 7)
d A LaTex expression showing (1 multiplied by 1) multiplied by (1 multiplied by 7)
e A LaTex expression showing (7 multiplied by 1) multiplied by (1 multiplied by 7)
f A LaTex expression showing (3 multiplied by 3) multiplied by (3 multiplied by 7)
7
Simplify this multiplication to bracketed factors
A LaTex expression showing 35 multiplied by 15
a A LaTex expression showing (5 multiplied by 7) multiplied by (3 multiplied by 7)
b A LaTex expression showing (1 multiplied by 7) multiplied by (7 multiplied by 7)
c A LaTex expression showing (3 multiplied by 7) multiplied by (7 multiplied by 7)
d A LaTex expression showing (1 multiplied by 2) multiplied by (9 multiplied by 7)
e A LaTex expression showing (5 multiplied by 7) multiplied by (3 multiplied by 5)
f A LaTex expression showing (1 multiplied by 3) multiplied by (9 multiplied by 9)
8
Simplify this multiplication to bracketed factors
A LaTex expression showing 1 multiplied by 90
a A LaTex expression showing (3) multiplied by (4 multiplied by 5 multiplied by 1 multiplied by 7)
b A LaTex expression showing (3) multiplied by (4 multiplied by 3 multiplied by 1 multiplied by 7)
c A LaTex expression showing (1) multiplied by (2 multiplied by 3 multiplied by 3 multiplied by 5)
d A LaTex expression showing (3) multiplied by (4 multiplied by 3 multiplied by 1 multiplied by 5)
e A LaTex expression showing (3) multiplied by (4 multiplied by 2 multiplied by 1 multiplied by 7)
f A LaTex expression showing (3) multiplied by (4 multiplied by 3 multiplied by 3 multiplied by 5)