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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Can two different numbers have the same prime factorization?
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Related questions

If you factor with different numbers do you get the same prime factorization?

Yes.


Can two numbers have the same prime factorization?

No, multiplying a set of numbers can only come out as one product. Therefore, two numbers having the same prime factorization is impossible.


Can 2 numbers have the same prime factorization?

Only if they're the same number. Every composite number has a unique prime factorization.


Is the product of a prime number the same as the prime factorization?

A prime factorization is the same as expressing a composite number as the product of its prime factors. Prime numbers don't have factorizations; they're already prime.


Can two different numbers have the same factorization?

No.


Is the prime factorization the same as the factor string?

Factor strings don't necessarily have to be composed entirely of prime numbers. But the longest factor string, the one that is entirely prime numbers, that's the prime factorization.


Do larger numbers have more prime factorization numbers than smaller numbers?

Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.


Which numbers have a prime factorization with factors that are all the same number?

Powers of primes


How do you get the prime factorization of large numbers?

The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.


Could 2x4x5x9x11 be the prime factorization of a number?

No because all the numbers in a prime factorization must be prime. The number 9 is not prime. It should be 3 *3. same thing with 4, should be 2*2. So what would be a prime factorization is 2x2x2x3x3x5x11.


How do you find the prime factorization of large numbers?

The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.


What are the prime factorizations of 115?

Prime factorization of 115 is: 5x23 Prime factors are the prime numbers multiplied with each other that together form the original numerical value. Prime numbers are numbers that have no factors besides one and itself. The first prime number is 2, then 3, 5, 7, 11, 13, and so on. Sometimes one may have a number that has multiple same prime numbers for its prime factorization; for example the prime factorization of 256 is 2x2x2x2x2x2x2x2

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