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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Factoring - Identifying Large Factored Numbers - 2 Factors Worksheet

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Factoring - Identifying Large Factored Numbers - 2 Factors
1
Factor 1296 to find y, and r
A LaTex expression showing 1296 = y to the power of 4 times r to the power of 4
a
y=3, r=5
b
y=2, r=7
c
y=3, r=11
d
y=3, r=2
e
y=3, r=11
2
Factor 2662 to find z, and r
A LaTex expression showing 2662 = z to the power of 3 times r to the power of 1
a
z=11, r=3
b
z=2, r=5
c
z=2, r=7
d
z=2, r=7
e
z=11, r=2
3
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=3
c
z=5, x=3
d
z=5, x=11
e
z=5, x=7
4
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=5
b
r=7, x=2
c
r=11, x=7
d
r=7, x=2
e
r=7, x=2
5
Factor 1944 to find c, and x
A LaTex expression showing 1944 = c to the power of 3 times x to the power of 5
a
c=3, x=5
b
c=2, x=7
c
c=3, x=7
d
c=3, x=11
e
c=2, x=3
6
Factor 9317 to find c, and z
A LaTex expression showing 9317 = c to the power of 3 times z to the power of 1
a
c=11, z=2
b
c=7, z=5
c
c=7, z=5
d
c=7, z=2
e
c=11, z=7
7
Factor 2500 to find d, and p
A LaTex expression showing 2500 = d to the power of 4 times p to the power of 2
a
d=2, p=3
b
d=5, p=11
c
d=5, p=2
d
d=5, p=11
e
d=5, p=3
8
Factor 2744 to find d, and c
A LaTex expression showing 2744 = d to the power of 3 times c to the power of 3
a
d=7, c=2
b
d=2, c=3
c
d=2, c=5
d
d=7, c=3
e
d=2, c=5