Identifying Large Factored Numbers - 2 Factors (Level 2)

This math topic focuses on factoring large numbers to identify their prime factors with specific powers, as presented in a multiple-choice format. Each problem requires participants to factor a given number and determine the correct pair of factors and their respective powers. The problems enhance skills in multiplication, division, and understanding of prime factorization, all of which are fundamental aspects of dealing with fractions and larger composite numbers. Overall, the exercises aim to solidify the learners' ability to manipulate and factorize numbers efficiently in algebraic expressions.

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 500 to find x, and y
A LaTex expression showing 500 = x to the power of 3 times y to the power of 2
a
x=5, y=2
b
x=2, y=11
c
x=2, y=7
d
x=5, y=3
e
x=5, y=7
2
Factor 1225 to find m, and x
A LaTex expression showing 1225 = m to the power of 2 times x to the power of 2
a
m=7, x=11
b
m=7, x=11
c
m=7, x=2
d
m=5, x=7
e
m=7, x=11
3
Factor 675 to find y, and c
A LaTex expression showing 675 = y to the power of 3 times c to the power of 2
a
y=3, c=2
b
y=3, c=5
c
y=3, c=11
d
y=3, c=2
e
y=3, c=2
4
Factor 800 to find r, and d
A LaTex expression showing 800 = r to the power of 2 times d to the power of 5
a
r=5, d=2
b
r=5, d=7
c
r=2, d=3
d
r=2, d=7
e
r=5, d=3
5
Factor 1125 to find z, and y
A LaTex expression showing 1125 = z to the power of 3 times y to the power of 2
a
z=5, y=3
b
z=5, y=7
c
z=3, y=11
d
z=5, y=11
e
z=3, y=11
6
Factor 675 to find c, and z
A LaTex expression showing 675 = c to the power of 3 times z to the power of 2
a
c=3, z=5
b
c=5, z=2
c
c=3, z=11
d
c=3, z=7
e
c=5, z=11
7
Factor 1323 to find c, and d
A LaTex expression showing 1323 = c to the power of 2 times d to the power of 3
a
c=7, d=11
b
c=3, d=11
c
c=7, d=5
d
c=3, d=2
e
c=7, d=3
8
Factor 686 to find c, and n
A LaTex expression showing 686 = c to the power of 3 times n to the power of 1
a
c=7, n=2
b
c=2, n=5
c
c=7, n=11
d
c=2, n=3
e
c=7, n=5