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Math Problems
Grade 6
Identify factors
Which number is a factor of
8
8
8
?
\newline
Choices:
\newline
(A)
16
16
16
\newline
(B)
4
4
4
\newline
(C)
5
5
5
\newline
(D)
6
6
6
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Which number is a factor of
10
10
10
?
\newline
Choices:
\newline
(A)
3
3
3
\newline
(B)
6
6
6
\newline
(C)
5
5
5
\newline
(D)
4
4
4
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Which number is a factor of
20
20
20
?
\newline
Choices:
\newline
(A)
7
7
7
\newline
(B)
40
40
40
\newline
(C)
2
2
2
\newline
(D)
6
6
6
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Which numbers are factors of
9
9
9
? Select all that apply.
\newline
Multi-select Choices:
\newline
(A)
9
9
9
\newline
(B)
7
7
7
\newline
(C)
5
5
5
\newline
(D)
4
4
4
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Besides
8
8
8
and
1
1
1
, what is one factor of
8
8
8
?
\newline
_____
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Which numbers are factors of
3
3
3
? Select all that apply.
\newline
Multi-select Choices:
\newline
(A)
6
6
6
\newline
(B)
3
3
3
\newline
(C)
2
2
2
\newline
(D)
1
1
1
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Besides
12
12
12
and
1
1
1
, what is one factor of
12
12
12
?
\newline
____
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Which numbers are factors of
19
19
19
? Select all that apply.
\newline
Multi-select Choices:
\newline
(A)
16
16
16
\newline
(B)
4
4
4
\newline
(C)
7
7
7
\newline
(D)
1
1
1
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Which number is a factor of
12
12
12
?
\newline
Choices:
\newline
(A)
5
5
5
\newline
(B)
8
8
8
\newline
(C)
7
7
7
\newline
(D)
4
4
4
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Which number is a factor of
4
4
4
?
\newline
Choices:
\newline
(A)
9
9
9
\newline
(B)
3
3
3
\newline
(C)
7
7
7
\newline
(D)
2
2
2
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Besides
16
16
16
and
1
1
1
, what is one factor of
16
16
16
?
\newline
_____
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Which numbers are factors of
17
17
17
? Select all that apply.
\newline
Multi-select Choices:
\newline
(A)
5
5
5
\newline
(B)
17
17
17
\newline
(C)
1
1
1
\newline
(D)
2
2
2
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Which numbers are factors of
7
7
7
? Select all that apply.
\newline
Multi-select Choices:
\newline
(A)
7
7
7
\newline
(B)
2
2
2
\newline
(C)
4
4
4
\newline
(D)
9
9
9
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Besides
10
10
10
and
1
1
1
, what is one factor of
10
10
10
?
\newline
______
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Besides
20
20
20
and
1
1
1
, what is one factor of
20
20
20
?
\newline
_____
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Which numbers are factors of
6
6
6
? Select all that apply.
\newline
Multi-select Choices:
\newline
(A)
9
9
9
\newline
(B)
6
6
6
\newline
(C)
1
1
1
\newline
(D)
2
2
2
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Besides
4
4
4
and
1
1
1
, what is one factor of
4
4
4
?
\newline
_____
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x
−
1
x-1
x
−
1
is a factor of which of the following?
\newline
I.
x
2
+
x
−
2
x^2+x-2
x
2
+
x
−
2
\newline
II.
2
x
2
−
5
x
+
3
2x^2-5x+3
2
x
2
−
5
x
+
3
\newline
a) Neither
\newline
b) I only
\newline
c) II only
\newline
d) I and II
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Rewrite the expression as a product of four linear factors:
\newline
(
x
2
+
7
x
)
2
+
4
(
x
2
+
7
x
)
−
96
\left(x^{2}+7 x\right)^{2}+4\left(x^{2}+7 x\right)-96
(
x
2
+
7
x
)
2
+
4
(
x
2
+
7
x
)
−
96
\newline
Answer:
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Rewrite the expression as a product of four linear factors:
\newline
(
3
x
2
−
x
)
2
−
6
(
3
x
2
−
x
)
+
8
\left(3 x^{2}-x\right)^{2}-6\left(3 x^{2}-x\right)+8
(
3
x
2
−
x
)
2
−
6
(
3
x
2
−
x
)
+
8
\newline
Answer:
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Which numbers are factors of
20
20
20
? Select all that apply.
\newline
17
17
17
\newline
5
5
5
\newline
9
9
9
\newline
7
7
7
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