Identifying Large Factored Numbers - 2 Factors (Level 1)

This math topic focuses on factoring large numbers into two factors and identifying powers of given variables. It uses multiple-choice questions to allow students to practice breaking down numbers like 200, 225, 100, 108, and others into factors expressed as exponents of different variables. The problems typically ask students to factorize numbers and select the correct pair of variables adhering to a specific exponential form from several option sets. This practice helps reinforce understanding of foundational concepts in factoring, multiplication, division, and their applications in handling fractions.

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

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Factoring - Identifying Large Factored Numbers - 2 Factors Worksheet

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Factoring - Identifying Large Factored Numbers - 2 Factors
1
Factor 162 to find x, and b
A LaTex expression showing 162 = x to the power of 4 times b to the power of 1
a
x=2, b=5
b
x=2, b=5
c
x=3, b=5
d
x=3, b=2
e
x=3, b=5
2
Factor 225 to find m, and r
A LaTex expression showing 225 = m to the power of 2 times r to the power of 2
a
m=5, r=2
b
m=5, r=11
c
m=5, r=2
d
m=3, r=2
e
m=5, r=3
3
Factor 375 to find m, and x
A LaTex expression showing 375 = m to the power of 1 times x to the power of 3
a
m=3, x=5
b
m=5, x=11
c
m=3, x=7
d
m=3, x=7
e
m=3, x=7
4
Factor 108 to find d, and z
A LaTex expression showing 108 = d to the power of 3 times z to the power of 2
a
d=2, z=7
b
d=2, z=5
c
d=2, z=11
d
d=3, z=2
e
d=3, z=5
5
Factor 100 to find m, and y
A LaTex expression showing 100 = m to the power of 2 times y to the power of 2
a
m=2, y=5
b
m=5, y=11
c
m=5, y=7
d
m=5, y=7
e
m=5, y=11
6
Factor 160 to find y, and d
A LaTex expression showing 160 = y to the power of 5 times d to the power of 1
a
y=2, d=11
b
y=5, d=7
c
y=2, d=5
d
y=5, d=11
e
y=5, d=3
7
Factor 375 to find z, and x
A LaTex expression showing 375 = z to the power of 1 times x to the power of 3
a
z=5, x=2
b
z=3, x=7
c
z=3, x=2
d
z=3, x=2
e
z=3, x=5
8
Factor 225 to find p, and b
A LaTex expression showing 225 = p to the power of 2 times b to the power of 2
a
p=3, b=11
b
p=3, b=11
c
p=5, b=2
d
p=5, b=3
e
p=3, b=2