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Factoring - 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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Simplifying Multiplication with Factors - Composite to Bracketed Factors

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Simplify this multiplication to bracketed factors

63×9863 \times 98

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

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Math worksheet on 'Factoring - Simplifying Multiplication with Factors - Composite to Bracketed Factors (Level 2)'. Part of a broader unit on 'Factoring, Multiplication, Division, Fractions - Intro' Learn online: app.mobius.academy/math/units/factoring_multiplication_division_fractions_intro/
1
Simplify this multiplication to bracketed factors
A LaTex expression showing 90 multiplied by 15
a A LaTex expression showing (6 multiplied by 1 multiplied by 3 multiplied by 5) multiplied by (1 multiplied by 3)
b A LaTex expression showing (2 multiplied by 1 multiplied by 1 multiplied by 5) multiplied by (3 multiplied by 3)
c A LaTex expression showing (2 multiplied by 1 multiplied by 1 multiplied by 5) multiplied by (3 multiplied by 6)
d A LaTex expression showing (2 multiplied by 3 multiplied by 1 multiplied by 5) multiplied by (3 multiplied by 6)
e A LaTex expression showing (2 multiplied by 3 multiplied by 3 multiplied by 5) multiplied by (3 multiplied by 5)
f A LaTex expression showing (2 multiplied by 1 multiplied by 3 multiplied by 5) multiplied by (1 multiplied by 3)
2
Simplify this multiplication to bracketed factors
A LaTex expression showing 70 multiplied by 27
a A LaTex expression showing (2 multiplied by 5 multiplied by 7) multiplied by (3 multiplied by 3 multiplied by 3)
b A LaTex expression showing (2 multiplied by 9 multiplied by 7) multiplied by (3 multiplied by 3 multiplied by 3)
c A LaTex expression showing (2 multiplied by 9 multiplied by 7) multiplied by (7 multiplied by 3 multiplied by 3)
d A LaTex expression showing (2 multiplied by 13 multiplied by 5) multiplied by (3 multiplied by 2 multiplied by 3)
e A LaTex expression showing (2 multiplied by 11 multiplied by 5) multiplied by (3 multiplied by 3 multiplied by 3)
f A LaTex expression showing (2 multiplied by 13 multiplied by 7) multiplied by (3 multiplied by 6 multiplied by 3)
3
Simplify this multiplication to bracketed factors
A LaTex expression showing 63 multiplied by 30
a A LaTex expression showing (3 multiplied by 5 multiplied by 10) multiplied by (2 multiplied by 6 multiplied by 6)
b A LaTex expression showing (3 multiplied by 2 multiplied by 10) multiplied by (2 multiplied by 3 multiplied by 6)
c A LaTex expression showing (3 multiplied by 3 multiplied by 10) multiplied by (2 multiplied by 3 multiplied by 5)
d A LaTex expression showing (3 multiplied by 3 multiplied by 7) multiplied by (2 multiplied by 3 multiplied by 5)
e A LaTex expression showing (3 multiplied by 2 multiplied by 10) multiplied by (2 multiplied by 7 multiplied by 6)
f A LaTex expression showing (7 multiplied by 5 multiplied by 10) multiplied by (1 multiplied by 6 multiplied by 6)
4
Simplify this multiplication to bracketed factors
A LaTex expression showing 16 multiplied by 6
a A LaTex expression showing (6 multiplied by 2 multiplied by 2 multiplied by 2) multiplied by (3 multiplied by 2)
b A LaTex expression showing (2 multiplied by 2 multiplied by 2 multiplied by 2) multiplied by (2 multiplied by 3)
c A LaTex expression showing (3 multiplied by 2 multiplied by 2 multiplied by 2) multiplied by (2 multiplied by 3)
d A LaTex expression showing (2 multiplied by 2 multiplied by 1 multiplied by 2) multiplied by (3 multiplied by 2)
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 (3 multiplied by 2 multiplied by 2 multiplied by 2) multiplied by (3 multiplied by 3)
5
Simplify this multiplication to bracketed factors
A LaTex expression showing 50 multiplied by 45
a A LaTex expression showing (2 multiplied by 3 multiplied by 5) multiplied by (3 multiplied by 3 multiplied by 5)
b A LaTex expression showing (1 multiplied by 3 multiplied by 7) multiplied by (2 multiplied by 3 multiplied by 5)
c A LaTex expression showing (1 multiplied by 3 multiplied by 10) multiplied by (2 multiplied by 2 multiplied by 5)
d A LaTex expression showing (2 multiplied by 5 multiplied by 5) multiplied by (3 multiplied by 3 multiplied by 5)
e A LaTex expression showing (1 multiplied by 3 multiplied by 5) multiplied by (3 multiplied by 3 multiplied by 5)
f A LaTex expression showing (2 multiplied by 1 multiplied by 5) multiplied by (3 multiplied by 3 multiplied by 6)
6
Simplify this multiplication to bracketed factors
A LaTex expression showing 12 multiplied by 63
a A LaTex expression showing (4 multiplied by 2 multiplied by 1) multiplied by (2 multiplied by 1 multiplied by 10)
b A LaTex expression showing (2 multiplied by 2 multiplied by 3) multiplied by (3 multiplied by 3 multiplied by 7)
c A LaTex expression showing (4 multiplied by 2 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 10)
d A LaTex expression showing (3 multiplied by 2 multiplied by 3) multiplied by (2 multiplied by 3 multiplied by 7)
e A LaTex expression showing (3 multiplied by 2 multiplied by 1) multiplied by (2 multiplied by 1 multiplied by 10)
f A LaTex expression showing (3 multiplied by 2 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 7)
7
Simplify this multiplication to bracketed factors
A LaTex expression showing 6 multiplied by 100
a A LaTex expression showing (1 multiplied by 6) multiplied by (2 multiplied by 2 multiplied by 5 multiplied by 5)
b A LaTex expression showing (3 multiplied by 6) multiplied by (4 multiplied by 1 multiplied by 1 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 (2 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 5 multiplied by 5)
e A LaTex expression showing (1 multiplied by 3) multiplied by (2 multiplied by 2 multiplied by 5 multiplied by 5)
f A LaTex expression showing (3 multiplied by 6) multiplied by (2 multiplied by 1 multiplied by 1 multiplied by 5)