Simplifying Multiplication with Factors - Composite to Bracketed Factors (Level 2)

This math topic focuses on simplifying the multiplication process by factoring composite numbers into bracketed factors. The exercises help strengthen understanding in factoring, multiplication, division, and introductory fractions. Each problem involves breaking down a multiplication of two numbers into prime factors and reformatting them into grouped factors in brackets. The problems range from primary number calculations to more complex numerical products, aiding in the development of critical thinking and factorization skills.

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 84
a A LaTex expression showing (7 multiplied by 5) multiplied by (2 multiplied by 2 multiplied by 3 multiplied by 4)
b A LaTex expression showing (7 multiplied by 5) multiplied by (2 multiplied by 2 multiplied by 3 multiplied by 6)
c A LaTex expression showing (7 multiplied by 5) multiplied by (2 multiplied by 2 multiplied by 1 multiplied by 8)
d A LaTex expression showing (3 multiplied by 5) multiplied by (2 multiplied by 2 multiplied by 3 multiplied by 7)
e A LaTex expression showing (7 multiplied by 5) multiplied by (2 multiplied by 2 multiplied by 1 multiplied by 6)
f A LaTex expression showing (3 multiplied by 5) multiplied by (2 multiplied by 2 multiplied by 3 multiplied by 4)
2
Simplify this multiplication to bracketed factors
A LaTex expression showing 70 multiplied by 18
a A LaTex expression showing (2 multiplied by 5 multiplied by 3) multiplied by (2 multiplied by 3 multiplied by 3)
b A LaTex expression showing (2 multiplied by 5 multiplied by 7) multiplied by (5 multiplied by 3 multiplied by 3)
c A LaTex expression showing (1 multiplied by 5 multiplied by 7) multiplied by (8 multiplied by 3 multiplied by 3)
d A LaTex expression showing (2 multiplied by 5 multiplied by 5) multiplied by (2 multiplied by 3 multiplied by 3)
e A LaTex expression showing (2 multiplied by 5 multiplied by 6) multiplied by (2 multiplied by 3 multiplied by 3)
f A LaTex expression showing (2 multiplied by 5 multiplied by 7) multiplied by (2 multiplied by 3 multiplied by 3)
3
Simplify this multiplication to bracketed factors
A LaTex expression showing 6 multiplied by 100
a A LaTex expression showing (3 multiplied by 6) multiplied by (4 multiplied by 1 multiplied by 1 multiplied by 5)
b A LaTex expression showing (1 multiplied by 6) multiplied by (2 multiplied by 2 multiplied by 5 multiplied by 5)
c A LaTex expression showing (1 multiplied by 6) multiplied by (2 multiplied by 1 multiplied by 5 multiplied by 5)
d A LaTex expression showing (3 multiplied by 6) multiplied by (2 multiplied by 1 multiplied by 1 multiplied by 5)
e A LaTex expression showing (2 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 5 multiplied by 5)
f A LaTex expression showing (1 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 5 multiplied by 5)
4
Simplify this multiplication to bracketed factors
A LaTex expression showing 16 multiplied by 6
a A LaTex expression showing (2 multiplied by 2 multiplied by 1 multiplied by 2) multiplied by (3 multiplied by 2)
b A LaTex expression showing (6 multiplied by 2 multiplied by 2 multiplied by 2) multiplied by (3 multiplied by 2)
c A LaTex expression showing (3 multiplied by 2 multiplied by 2 multiplied by 2) multiplied by (3 multiplied by 3)
d A LaTex expression showing (3 multiplied by 2 multiplied by 2 multiplied by 2) multiplied by (2 multiplied by 3)
e A LaTex expression showing (2 multiplied by 2 multiplied by 2 multiplied by 2) multiplied by (3 multiplied by 2)
f A LaTex expression showing (2 multiplied by 2 multiplied by 2 multiplied by 2) multiplied by (2 multiplied by 3)
5
Simplify this multiplication to bracketed factors
A LaTex expression showing 20 multiplied by 12
a A LaTex expression showing (2 multiplied by 2 multiplied by 5) multiplied by (2 multiplied by 2 multiplied by 3)
b A LaTex expression showing (2 multiplied by 6 multiplied by 1) multiplied by (2 multiplied by 5 multiplied by 3)
c A LaTex expression showing (6 multiplied by 1 multiplied by 1) multiplied by (6 multiplied by 5 multiplied by 1)
d A LaTex expression showing (2 multiplied by 6 multiplied by 5) multiplied by (2 multiplied by 5 multiplied by 3)
e A LaTex expression showing (6 multiplied by 1 multiplied by 1) multiplied by (6 multiplied by 5 multiplied by 3)
f A LaTex expression showing (2 multiplied by 1 multiplied by 1) multiplied by (6 multiplied by 5 multiplied by 3)
6
Simplify this multiplication to bracketed factors
A LaTex expression showing 63 multiplied by 28
a A LaTex expression showing (5 multiplied by 3 multiplied by 7) multiplied by (2 multiplied by 3 multiplied by 7)
b A LaTex expression showing (1 multiplied by 3 multiplied by 7) multiplied by (6 multiplied by 3 multiplied by 7)
c A LaTex expression showing (4 multiplied by 3 multiplied by 7) multiplied by (6 multiplied by 3 multiplied by 7)
d A LaTex expression showing (4 multiplied by 3 multiplied by 9) multiplied by (6 multiplied by 3 multiplied by 6)
e A LaTex expression showing (3 multiplied by 3 multiplied by 7) multiplied by (2 multiplied by 2 multiplied by 7)
f A LaTex expression showing (4 multiplied by 1 multiplied by 9) multiplied by (6 multiplied by 5 multiplied by 6)
7
Simplify this multiplication to bracketed factors
A LaTex expression showing 6 multiplied by 24
a A LaTex expression showing (2 multiplied by 3) multiplied by (1 multiplied by 2 multiplied by 2 multiplied by 3)
b A LaTex expression showing (2 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 2 multiplied by 3)
c A LaTex expression showing (2 multiplied by 3) multiplied by (3 multiplied by 2 multiplied by 2 multiplied by 3)
d A LaTex expression showing (1 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 2 multiplied by 3)
e A LaTex expression showing (2 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 2 multiplied by 2)
f A LaTex expression showing (1 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 2 multiplied by 2)
8
Simplify this multiplication to bracketed factors
A LaTex expression showing 63 multiplied by 75
a A LaTex expression showing (2 multiplied by 1 multiplied by 7) multiplied by (3 multiplied by 3 multiplied by 7)
b A LaTex expression showing (1 multiplied by 3 multiplied by 7) multiplied by (3 multiplied by 3 multiplied by 5)
c A LaTex expression showing (3 multiplied by 3 multiplied by 7) multiplied by (3 multiplied by 5 multiplied by 5)
d A LaTex expression showing (2 multiplied by 2 multiplied by 7) multiplied by (1 multiplied by 3 multiplied by 7)
e A LaTex expression showing (2 multiplied by 3 multiplied by 7) multiplied by (3 multiplied by 3 multiplied by 5)
f A LaTex expression showing (2 multiplied by 2 multiplied by 7) multiplied by (3 multiplied by 3 multiplied by 7)