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Math Problems
Grade 6
Prime factorization
What is the prime factorization of
8
8
8
?
\newline
Choices:
\newline
(A)
2
×
4
2 \times 4
2
×
4
\newline
(B)
2
×
2
2 \times 2
2
×
2
\newline
(C)
2
×
2
×
2
×
2
2 \times 2 \times 2 \times 2
2
×
2
×
2
×
2
\newline
(D)
2
×
2
×
2
2 \times 2 \times 2
2
×
2
×
2
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What is the prime factorization of
3
3
3
?
\newline
Choices:
\newline
(A)
3
×
3
3 \times 3
3
×
3
\newline
(B)
2
×
2
×
2
2 \times 2 \times 2
2
×
2
×
2
\newline
(C)
3
3
3
\newline
(D)
2
×
3
2 \times 3
2
×
3
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What is the prime factorization of
4
4
4
?
\newline
Choices:
\newline
(A)
2
×
4
2 \times 4
2
×
4
\newline
(B)
2
×
2
2 \times 2
2
×
2
\newline
(C)
2
×
2
×
2
2 \times 2 \times 2
2
×
2
×
2
\newline
(D)
2
2
2
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What is the prime factorization of
6
6
6
?
\newline
Choices:
\newline
(A)
2
×
3
×
3
2 \times 3 \times 3
2
×
3
×
3
\newline
(B)
2
×
3
2 \times 3
2
×
3
\newline
(C)
6
6
6
\newline
(D)
2
2
2
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What is the prime factorization of
20
20
20
?
\newline
Choices:
\newline
(A)
2
×
2
×
5
2 \times 2 \times 5
2
×
2
×
5
\newline
(B)
2
×
2
×
2
×
5
2 \times 2 \times 2 \times 5
2
×
2
×
2
×
5
\newline
(C)
4
×
5
×
5
4 \times 5 \times 5
4
×
5
×
5
\newline
(D)
2
×
10
2 \times 10
2
×
10
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What is the prime factorization of
9
9
9
?
\newline
Choices:
\newline
(A)
3
×
9
3 \times 9
3
×
9
\newline
(B)
3
×
3
3 \times 3
3
×
3
\newline
(C)
9
9
9
\newline
(D)
3
×
3
×
3
3 \times 3 \times 3
3
×
3
×
3
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What is the prime factorization of
2
2
2
?
\newline
Choices:
\newline
(A)
3
×
3
3 \times 3
3
×
3
\newline
(B)
2
2
2
\newline
(C)
2
×
2
×
2
2 \times 2 \times 2
2
×
2
×
2
\newline
(D)
2
×
2
2 \times 2
2
×
2
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What is the prime factorization of
10
10
10
?
\newline
Choices:
\newline
(A)
10
10
10
\newline
(B)
5
×
10
5 \times 10
5
×
10
\newline
(C)
2
2
2
\newline
(D)
2
×
5
2 \times 5
2
×
5
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What is the prime factorization of
5
5
5
?
\newline
Choices:
\newline
(A)
2
×
2
×
2
2 \times 2 \times 2
2
×
2
×
2
\newline
(B)
2
×
3
2 \times 3
2
×
3
\newline
(C)
5
5
5
\newline
(D)
2
×
2
2 \times 2
2
×
2
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What is the prime factorization of
12
12
12
?
\newline
Choices:
\newline
(A)
2
×
3
×
4
2 \times 3 \times 4
2
×
3
×
4
\newline
(B)
2
×
2
×
2
×
3
2 \times 2 \times 2 \times 3
2
×
2
×
2
×
3
\newline
(C)
2
×
3
2 \times 3
2
×
3
\newline
(D)
2
×
2
×
3
2 \times 2 \times 3
2
×
2
×
3
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What is the prime factorization of
15
15
15
?
\newline
Choices:
\newline
(A)
3
×
5
3 \times 5
3
×
5
\newline
(B)
5
5
5
\newline
(C)
3
×
3
×
5
3 \times 3 \times 5
3
×
3
×
5
\newline
(D)
15
15
15
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What is the prime factorization of
18
18
18
?
\newline
Choices:
\newline
(A)
2
×
3
2 \times 3
2
×
3
\newline
(B)
3
×
3
3 \times 3
3
×
3
\newline
(C)
2
×
3
×
3
2 \times 3 \times 3
2
×
3
×
3
\newline
(D)
2
×
2
×
3
×
3
2 \times 2 \times 3 \times 3
2
×
2
×
3
×
3
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What is the prime factorization of
16
16
16
?
\newline
Choices:
\newline
(A)
2
×
2
×
2
2 \times 2 \times 2
2
×
2
×
2
\newline
(B)
2
×
2
×
4
2 \times 2 \times 4
2
×
2
×
4
\newline
(C)
2
×
2
×
2
×
2
×
2
2 \times 2 \times 2 \times 2 \times 2
2
×
2
×
2
×
2
×
2
\newline
(D)
2
×
2
×
2
×
2
2 \times 2 \times 2 \times 2
2
×
2
×
2
×
2
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Write all the factors of
20
20
20
. Use commas to separate them.
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Given that
Z
=
2
2
×
3
2
×
5
2
×
7
p
Z=2^{2} \times 3^{2} \times 5^{2} \times 7^{p}
Z
=
2
2
×
3
2
×
5
2
×
7
p
, express
70
Z
70 Z
70
Z
as a product of powers of its prime factors.
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Factor
48
−
8
x
48-8x
48
−
8
x
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
A)
3
(
16
−
8
x
)
3(16-8x)
3
(
16
−
8
x
)
\newline
B)
2
(
24
−
4
x
)
2(24-4x)
2
(
24
−
4
x
)
\newline
C)
8
(
6
−
x
)
8(6-x)
8
(
6
−
x
)
\newline
D)
4
(
12
−
2
x
)
4(12-2x)
4
(
12
−
2
x
)
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