Identifying Large Factored Numbers - 3 Factors (Level 3)

This math topic focuses on factoring large numbers into their prime components with three factors. It's about identifying and expressing each factor's respective power within an equation. The questions require participants to break down specific numbers and identify the correct combination of factors and their powers. The numbers are factored differently, requiring a mix of multiplication, division, and understanding of fractions. Each exercise provides multiple choices to reinforce learning and assess the understanding of these math operations.

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

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Factoring - Identifying Large Factored Numbers - 3 Factors Worksheet

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Factoring - Identifying Large Factored Numbers - 3 Factors
1
Factor 1100 to find d, c, and b
A LaTex expression showing 1100 = d to the power of 2 times c to the power of 1 times b to the power of 2
a
d=5, c=11, b=2
b
d=5, c=11, b=7
c
d=5, c=11, b=7
d
d=5, c=2, b=7
e
d=5, c=11, b=13
2
Factor 2178 to find n, y, and b
A LaTex expression showing 2178 = n to the power of 2 times y to the power of 1 times b to the power of 2
a
n=11, y=2, b=13
b
n=11, y=2, b=13
c
n=11, y=2, b=3
d
n=11, y=3, b=13
e
n=11, y=3, b=5
3
Factor 1960 to find y, p, and c
A LaTex expression showing 1960 = y to the power of 1 times p to the power of 2 times c to the power of 3
a
y=5, p=7, c=11
b
y=5, p=7, c=2
c
y=5, p=2, c=11
d
y=5, p=2, c=13
e
y=5, p=2, c=13
4
Factor 9075 to find y, x, and r
A LaTex expression showing 9075 = y to the power of 2 times x to the power of 1 times r to the power of 2
a
y=3, x=5, r=2
b
y=11, x=3, r=2
c
y=11, x=3, r=13
d
y=11, x=3, r=5
e
y=3, x=5, r=13
5
Factor 4900 to find n, y, and p
A LaTex expression showing 4900 = n to the power of 2 times y to the power of 2 times p to the power of 2
a
n=7, y=5, p=11
b
n=7, y=2, p=5
c
n=2, y=5, p=3
d
n=7, y=5, p=3
e
n=7, y=5, p=13
6
Factor 3675 to find m, c, and r
A LaTex expression showing 3675 = m to the power of 2 times c to the power of 2 times r to the power of 1
a
m=7, c=5, r=11
b
m=7, c=5, r=13
c
m=7, c=3, r=13
d
m=5, c=3, r=2
e
m=7, c=5, r=3
7
Factor 2646 to find d, m, and c
A LaTex expression showing 2646 = d to the power of 1 times m to the power of 3 times c to the power of 2
a
d=2, m=3, c=7
b
d=2, m=3, c=5
c
d=3, m=7, c=5
d
d=2, m=3, c=11
e
d=2, m=7, c=11
8
Factor 1400 to find n, c, and b
A LaTex expression showing 1400 = n to the power of 3 times c to the power of 2 times b to the power of 1
a
n=2, c=5, b=11
b
n=2, c=5, b=11
c
n=2, c=7, b=11
d
n=2, c=5, b=11
e
n=2, c=5, b=7