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Decide whether each number is prime or composite if the number is composite then put in factored form as a product of prime numbers use exponents when there are two or more identical factors?
Wiki User
∙ 7y ago
Ex. 23 and 24
23 is prime.
24 is composite.
2 x 2 x 2 x 3 = 24
2^3 x 3 = 24
Wiki User
∙ 7y ago
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Can any composite number be factored into a prime factors?
Yes. Any composite number can be expressed as a product of prime factors.
How do you figure out a composite number?
A number can be factored to determine whether it is prime or composite. A prime number has exactly 2 factors, 1 and the number itself. A composite number has more than two factors.
Can you write the composite number 300 as a product of prime numbers?
As a product of its prime factors in exponents: 22*3*52 = 300
How do you express the numbers of a particular prime number using exponents?
Exponents are used to replace repeated factors. Prime numbers won't use exponents because they don't have repeated factors. To express the prime factorization of a particular composite number using exponents, just count. 2 x 2 x 2 x 3 x 3 = 72 23 x 32 = 72
When is an expression factored completely?
When the expression is broken down into its prime factors it is factored completely.
Can any composite number be factored in to prime factors?
Yes.
Can any composite number be factored into a prime factors?
Yes. Any composite number can be expressed as a product of prime factors.
How do you figure out a composite number?
A number can be factored to determine whether it is prime or composite. A prime number has exactly 2 factors, 1 and the number itself. A composite number has more than two factors.
Is the number 24 a prime or composite?
24 is composite because it can factored or split up as 24 = 3 * 8 for example. Prime numbers, such as 23, can not be split into factors.
Can a trinomial have two identical factors?
Yes. Consider the trinomial x2 + 2x + 4. It can be factored as (x+2)(x+2), that is to say, it has two identical factors of (x+2).
Can a composite number be factored into a prime factor?
A composite number is the product of its prime factors. For example, prime factors of 242 = 2 x 11 x 11 and prime factors of 70 = 2 x 5 x 7.
If a number is a composite then how do you write the number in factored form using exponents when there are two or more factors of a prime number?
The exponent just counts the number of times the factor is repeated. 2 x 2 x 2 x 3 x 3 = 72 23 x 32 = 72
Can you write the composite number 300 as a product of prime numbers?
As a product of its prime factors in exponents: 22*3*52 = 300
How many factors does a composite number have?
Composite numbers are those numbers greater than 1, that have more than 2 factors. Your question is too ambiguous! I don't completely agree with the words above. Composite numbers are all numbers that are not prime numbers. In other words, composite numbers are divisible by other numbers besides themselves and 1. To find the number of factors in a composite number, put the number into prime factored form. For example, the number 24 in prime factored form is 2^3 X 3^1. To find the number of factors of 24, add the number 1 to each of the exponents and multiply their sums. The exponent of 2 is 3, and the exponent of 3 is 1, so (3+1)(1+1) = 4 X 2 = 8. There are eight factors of 24. They are: 1,2,3,4,6,8,12,24. Here's my question: does anyone know the name or concept behind this algorithm, including more like them? Thanks.
Why do you need to know about prime and composite numbers?
If you know a number is composite, then you also know that it can be factored into more factors than just 1 and itself. A prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite.
Can any composite number be factored into prime factors?
Yes. The Fundamental Theorem of Arithmetic states that every composite number has one and only one prime factorization; the above is one expression of this fact.
How do you express the numbers of a particular prime number using exponents?
Exponents are used to replace repeated factors. Prime numbers won't use exponents because they don't have repeated factors. To express the prime factorization of a particular composite number using exponents, just count. 2 x 2 x 2 x 3 x 3 = 72 23 x 32 = 72
