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Is the set of all integers closed under the operation of multiplication?
Yes.
Is the set of all integers a group under multiplication?
No. The set does not include inverses.
What is a whole number factor of a composite number?
All numbers have factors. The whole number factors of a composite number are the integers that combine in a multiplication sentence to make that number. In the sentence 5 x 6 = 30, 5 and 6 are factors of 30.
What are the prime and composite numbers from 1 to 200?
They are all the integers from 2 to 200.
Is 6 prime composite or neither?
It is composite, like all even numbers other than 2. It is the product of 2 x 3. All integers are either prime or composite. Only 0 is neither.
Is the set of all integers closed under the operation of multiplication?
Yes.
Is the set of all integers a group under multiplication?
No. The set does not include inverses.
What is a whole number factor of a composite number?
All numbers have factors. The whole number factors of a composite number are the integers that combine in a multiplication sentence to make that number. In the sentence 5 x 6 = 30, 5 and 6 are factors of 30.
What do prime and composite have in common?
They both describe integers.
Is the set of all even integers closed with respect to multiplication?
Yes, it is.
What is a set of five consecutive integers that are all composite?
4,6,8,9,10
What are all the numbers that are not prime or composite?
The property of prime or composite applies only to integers. All other numbers (non-integer rationals and all irrational numbers) are neither prime nor composite. Within integers, 0 and 1 are neither prime nor composite.
Is even numbers composite or prime?
All the even numbers greater than 2 are composite.
What composite numbers between 47 and 51?
All the integers between the two.
What are the prime and composite numbers from 1 to 200?
They are all the integers from 2 to 200.
Which set is closed under the operation multiplication?
Any set where the result of the multiplication of any two members of the set is also a member of the set. Well known examples are: the natural numbers (ℕ), the integers (ℤ), the rational numbers (ℚ), the real numbers (ℝ) and the complex numbers (ℂ) - all closed under multiplication.
Is the number 141 neither prime nor composite?
All integers greater than 1 are one or the other.
