AnswersPre-Algebra A-CRUnit Test

Prime Numbers and Prime Factorization Answers

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Which list shows all the factors of 36?

A
1, 2, 3, 4, 6, 9, 12, 18, 36
B
1, 2, 3, 4, 8, 9, 12, 18, 36
C
2, 3, 4, 6, 9, 12, 18
D
2, 4, 6, 8, 9, 12, 18
2
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The prime factorization of a number is . Which is a true statement about the factors of the number?

Question illustration
A
Fifteen is a factor of the number because both 3 and 5 are prime factors.
B
Fifteen is not a factor of the number because 15 is odd and the number is even.
C
Sixteen is a factor for the number because and 16 is divisible by 8.
Option C
D
Sixteen is not a factor of the number because the exponent of 2 is not even.
3

Which number is a factor of 100?

A
8
B
12
C
15
D
20
4

The prime factorization of a number is . Which statement is true about the factors of the number?

Question illustration
A
Twenty-one is a factor of the number because both 3 and 7 are prime factors.
B
Twenty-one is not a factor of the number because 21 is not prime.
C
Ninety is a factor of the number because and 90 is divisible by 9.
Option C
D
Ninety is not a factor of the number because 90 is not divisible by 7.
5

What is the prime factorization of 40?

A
2 times 5
Option A
B
2 times 20
Option B
C
2 times 2 times 2 times 5
Option C
D
2 times 2 times 4 times 5
Option D
6

Which number is a factor of 51?

A
7
B
11
C
17
D
26
7

Jaime created the list of factors of 32 below. 32: 1, 2, 4, 6, 8, 16, 32 Which number should be removed from this list to make the list accurate?

A
1
B
6
C
16
D
32
8

Lina and Josh each made a factor tree to find the prime factorization of 126. Lina’s Solution Josh’s Solution Which statement explains the accuracy of the students’ work?

Question illustration
A
Lina’s solution is correct because it expresses 126 as a product of prime factors.
B
Josh’s solution is correct because the factor tree of every even number must begin with 2 and its factor pair.
C
Both solutions are correct because they both express 126 as a product of factors.
D
Neither solution is correct because the factor tree should have begun with 6 and 21.
9

Prime numbers have

A
less than two factors.
B
more than two factors.
C
exactly two factors.
D
less than or equal to two factors.
10

What is the difference between the largest prime number less than 50 and the smallest composite number greater than 10?

A
35
B
36
C
37
D
38

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