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

This math topic focuses on strengthening the skill of factoring composite numbers into their prime components and then simplifying the expressions. It covers simplifying multiplication by breaking down the given composite numbers into fully factored forms. The problems are structured to transform a composite multiplication expression into its simplest prime factorization format, which is essential for understanding more advanced factoring, multiplication, division, and fractions. Each question provides a different set of composite numbers for the students to work on and offers multiple choices to select the correct simplified factored form.

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 Factors

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

Simplify this multiplication to a fully factored multiplication

50×6350 \times 63

Factoring - Simplifying Multiplication with Factors - Composite to Factors Worksheet

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Math worksheet on 'Factoring - Simplifying Multiplication with Factors - Composite to 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 a fully factored multiplication
A LaTex expression showing 63 multiplied by 28
a A LaTex expression showing 5 multiplied by 1 multiplied by 8 multiplied by 2 multiplied by 3 multiplied by 8
b A LaTex expression showing 3 multiplied by 1 multiplied by 9 multiplied by 2 multiplied by 1 multiplied by 7
c A LaTex expression showing 3 multiplied by 1 multiplied by 7 multiplied by 2 multiplied by 1 multiplied by 7
d A LaTex expression showing 3 multiplied by 3 multiplied by 7 multiplied by 2 multiplied by 2 multiplied by 7
e A LaTex expression showing 3 multiplied by 1 multiplied by 8 multiplied by 2 multiplied by 3 multiplied by 7
f A LaTex expression showing 3 multiplied by 1 multiplied by 5 multiplied by 2 multiplied by 3 multiplied by 7
2
Simplify this multiplication to a fully factored multiplication
A LaTex expression showing 100 multiplied by 49
a A LaTex expression showing 2 multiplied by 2 multiplied by 1 multiplied by 5 multiplied by 7 multiplied by 10
b A LaTex expression showing 3 multiplied by 1 multiplied by 1 multiplied by 1 multiplied by 5 multiplied by 12
c A LaTex expression showing 2 multiplied by 2 multiplied by 5 multiplied by 5 multiplied by 7 multiplied by 7
d A LaTex expression showing 2 multiplied by 2 multiplied by 5 multiplied by 5 multiplied by 7 multiplied by 10
e A LaTex expression showing 2 multiplied by 1 multiplied by 1 multiplied by 1 multiplied by 7 multiplied by 12
f A LaTex expression showing 2 multiplied by 2 multiplied by 1 multiplied by 1 multiplied by 7 multiplied by 10
3
Simplify this multiplication to a fully factored multiplication
A LaTex expression showing 24 multiplied by 35
a A LaTex expression showing 8 multiplied by 2 multiplied by 6 multiplied by 6 multiplied by 5 multiplied by 4
b A LaTex expression showing 2 multiplied by 2 multiplied by 2 multiplied by 3 multiplied by 5 multiplied by 7
c A LaTex expression showing 8 multiplied by 2 multiplied by 2 multiplied by 6 multiplied by 5 multiplied by 4
d A LaTex expression showing 5 multiplied by 2 multiplied by 6 multiplied by 6 multiplied by 5 multiplied by 6
e A LaTex expression showing 5 multiplied by 2 multiplied by 2 multiplied by 3 multiplied by 5 multiplied by 7
f A LaTex expression showing 5 multiplied by 2 multiplied by 2 multiplied by 6 multiplied by 5 multiplied by 6
4
Simplify this multiplication to a fully factored multiplication
A LaTex expression showing 36 multiplied by 10
a A LaTex expression showing 1 multiplied by 2 multiplied by 3 multiplied by 7 multiplied by 1 multiplied by 5
b A LaTex expression showing 1 multiplied by 2 multiplied by 4 multiplied by 7 multiplied by 1 multiplied by 5
c A LaTex expression showing 1 multiplied by 2 multiplied by 1 multiplied by 7 multiplied by 4 multiplied by 5
d A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 5
e A LaTex expression showing 1 multiplied by 2 multiplied by 3 multiplied by 3 multiplied by 5 multiplied by 5
f A LaTex expression showing 1 multiplied by 2 multiplied by 3 multiplied by 7 multiplied by 2 multiplied by 5
5
Simplify this multiplication to a fully factored multiplication
A LaTex expression showing 12 multiplied by 20
a A LaTex expression showing 5 multiplied by 7 multiplied by 3 multiplied by 1 multiplied by 2 multiplied by 1
b A LaTex expression showing 5 multiplied by 7 multiplied by 3 multiplied by 1 multiplied by 1 multiplied by 1
c A LaTex expression showing 2 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 2 multiplied by 5
d A LaTex expression showing 2 multiplied by 7 multiplied by 3 multiplied by 1 multiplied by 2 multiplied by 5
e A LaTex expression showing 2 multiplied by 2 multiplied by 3 multiplied by 2 multiplied by 2 multiplied by 5
f A LaTex expression showing 2 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 2 multiplied by 5
6
Simplify this multiplication to a fully factored multiplication
A LaTex expression showing 20 multiplied by 30
a A LaTex expression showing 2 multiplied by 1 multiplied by 5 multiplied by 3 multiplied by 1 multiplied by 2
b A LaTex expression showing 5 multiplied by 4 multiplied by 5 multiplied by 3 multiplied by 1 multiplied by 4
c A LaTex expression showing 2 multiplied by 2 multiplied by 5 multiplied by 2 multiplied by 3 multiplied by 5
d A LaTex expression showing 2 multiplied by 2 multiplied by 5 multiplied by 3 multiplied by 3 multiplied by 5
e A LaTex expression showing 2 multiplied by 1 multiplied by 5 multiplied by 3 multiplied by 1 multiplied by 5
f A LaTex expression showing 5 multiplied by 1 multiplied by 5 multiplied by 3 multiplied by 1 multiplied by 4
7
Simplify this multiplication to a fully factored multiplication
A LaTex expression showing 98 multiplied by 18
a A LaTex expression showing 1 multiplied by 7 multiplied by 7 multiplied by 2 multiplied by 7 multiplied by 3
b A LaTex expression showing 2 multiplied by 7 multiplied by 7 multiplied by 2 multiplied by 3 multiplied by 3
c A LaTex expression showing 1 multiplied by 7 multiplied by 6 multiplied by 1 multiplied by 7 multiplied by 1
d A LaTex expression showing 1 multiplied by 7 multiplied by 7 multiplied by 4 multiplied by 7 multiplied by 1
e A LaTex expression showing 1 multiplied by 7 multiplied by 7 multiplied by 1 multiplied by 7 multiplied by 1
f A LaTex expression showing 1 multiplied by 7 multiplied by 7 multiplied by 1 multiplied by 7 multiplied by 3