Prime Numbers and Prime Factorization Answers

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1
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Latoya created a factor tree and wrote the prime factorization of 90 shown below.What is Latoya’s error?

Question illustration
A
She should not have found the factors of 9.
B
She should have included an exponent of 2 on the 3.
C
She should have included 9 and 10 in the prime factorization.
D
She should have started the tree with .
Option D
2
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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
3

Rathan thinks all factors of even numbers are even. Is Rathan correct or incorrect?

A
He is correct because the product of 2 and any number is odd.
B
He is correct because the product of two even numbers is even.
C
He is incorrect because the product of an even number and an odd number is even.
D
He is incorrect because the product of two odd numbers is odd.
6

Manuel created a factor tree and wrote the prime factorization of 60 shown below. What is Manuel’s error?

Question illustration
A
He did not include 15 in the prime factorization.
B
He did not find the prime factors of 4.
C
He should have started the factor tree with .
Option C
D
He should not have found the factors of 15.
10

Which list shows all the factors of 18?

A
1, 2, 3, 4, 6, 9, 18
B
1, 2, 3, 6, 9, 18
C
2, 3, 4, 6, 9
D
2, 3, 6, 9

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