Prime Numbers and Prime Factorization Answers
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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.2
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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?
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 21.3
Which number is a factor of 100?
A
8B
12C
15D
204
Composite numbers have
A
less than two factors.B
more than two factors.C
exactly two factors.D
greater than or equal to two factors.5
Which is a true statement about the number 1?
A
One is a factor of every whole number since every number is divisible by itself.B
One is not a factor of any number because it is neither a prime number nor a composite number.C
One is a prime number because it has less than two factors.D
One is a composite number because it has more than two factors.6
What is the prime factorization of 40?
A
2 times 5
B
2 times 20
C
2 times 2 times 2 times 5
D
2 times 2 times 4 times 5
7
The prime factorization of a number is . Which is a true statement about the factors of the number?
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.
D
Sixteen is not a factor of the number because the exponent of 2 is not even.8
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.9
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
1B
6C
16D
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