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Factoring - Identifying Large Factored Numbers - 2 Factors (Level 3)

This math topic focuses on enhancing skills in identifying and factoring large numbers with specified conditions regarding the number of factors. The problems require students to factor specific large numbers by determining two or more associated factors presented as values raised to particular powers. For example, participants are tasked with factoring numbers like 1089, 2662, or 5929 into components such as y and x, or d and c, under constraints like being squared or cubed. This set of problems fits into a broader unit that includes practice on factoring, multiplication, division, and fractions.

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

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Identifying Large Factored Numbers - 2 Factors

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


Factor 1944 to find c, and x

1944=c3â‹…x51944 = c^{3} \cdot x^{5}

Factoring - Identifying Large Factored Numbers - 2 Factors Worksheet

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Math worksheet on 'Factoring - Identifying Large Factored Numbers - 2 Factors (Level 3)'. Part of a broader unit on 'Factoring, Multiplication, Division, Fractions - Practice' Learn online: app.mobius.academy/math/units/factoring_multiplication_division_fractions_practice/
1
Factor 1715 to find z, and x
A LaTex expression showing 1715 = z to the power of 1 times x to the power of 3
a
z=5, x=3
b
z=5, x=7
c
z=5, x=11
d
z=5, x=3
e
z=5, x=3
2
Factor 1000 to find p, and y
A LaTex expression showing 1000 = p to the power of 3 times y to the power of 3
a
p=5, y=2
b
p=2, y=11
c
p=5, y=3
d
p=5, y=11
e
p=5, y=11
3
Factor 1225 to find x, and y
A LaTex expression showing 1225 = x to the power of 2 times y to the power of 2
a
x=7, y=2
b
x=5, y=3
c
x=7, y=3
d
x=5, y=7
e
x=7, y=3
4
Factor 3025 to find x, and d
A LaTex expression showing 3025 = x to the power of 2 times d to the power of 2
a
x=5, d=3
b
x=11, d=5
c
x=5, d=2
d
x=5, d=3
e
x=11, d=3
5
Factor 2662 to find d, and c
A LaTex expression showing 2662 = d to the power of 3 times c to the power of 1
a
d=11, c=3
b
d=2, c=5
c
d=11, c=3
d
d=2, c=5
e
d=11, c=2
6
Factor 3773 to find r, and x
A LaTex expression showing 3773 = r to the power of 1 times x to the power of 3
a
r=7, x=2
b
r=11, x=7
c
r=7, x=5
d
r=7, x=2
e
r=7, x=2
7
Factor 10648 to find x, and z
A LaTex expression showing 10648 = x to the power of 3 times z to the power of 3
a
x=11, z=5
b
x=11, z=5
c
x=2, z=11
d
x=2, z=7
e
x=2, z=7