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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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Factoring and Multiples

21 cards

What is the prime factorization of 24

What is the prime factorization of 54

What is the prime factorization of 64

What is the prime factorization of 34

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Factoring and Multiples

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What are the particles of matter

Particles of matter move slower as the matter is heated

What are the common factors of 32 and 54

Factors of 325

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Q: What three numbers if multiplied together the greatest common factor is 9?
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Related questions

What is the least common multiple of 2 coprime numbers?

The least common multiple of two numbers is the product of those two numbers divided by their greatest common factor. It the two numbers are coprime (or relatively prime), their greatest common factor is 1. Therefore, their least common multiple is a x b ÷ GCF (of a and b) = a x b ÷ 1 = a x b. The least common multiple of two coprime numbers is the numbers multiplied together.


Is the least common multiple of two numbers the product of those two numbers multiplied together?

Multiplying two numbers together will create a common multiple. It is sometimes, but not always, the LCM as well.


What is the product of the greatest common factor and least common multiple mean?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. The product of those two numbers is the answer when they are multiplied together.


What is the LCM of two numbers that have no common factors greater than one?

If two numbers have no common factor greater then one, then their LCM is the two numbers multiplied together. Example: 9 and 14 have no common factors. Their LCM is 9 x 14, which is 126.


What is the least common multiple of two prime numbers?

The LCM of prime numbers is simply their product (a x b, or x*y). The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of two prime numbers is 1. Therefore, the least common multiple of two prime numbers is the two numbers multiplied together, since dividing by 1 will not change the answer. The same applies to "relatively prime" numbers such as 10 and 21, where the GCF is also 1.


What if there is no LCM in a fraction problem?

There is always going to be a LCM. Just multiply the two numbers together to get the a common multiple if you cant find one because the two numbers multiplied together is a common multiple.


Is the greatest common factor of 11?

The greatest common factor of 11 is 11 itself. This is because the only whole numbers that can be multiplied in order to come up with the number 11 are 1 and 11.


What is the the greatest common multiple of any two numbers?

There is no "greatest common multiple" of any two numbers. Whatever their product is, it can be multiplied by any positive integer to yield an even greater number that is also a multiple of the first two. Thus, the number of multiples is infinite.


How do you find the greatest common factor of 45 using prime factorization?

You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.


What is the greatest common factor of 6 8 12?

I love math! It's 2, because its the highest number that can be multiplied into those numbers.


What is the greatest factor that two or more numbers have in common?

The greatest factor that two or more numbers have in common is known as the greatest common factor, or GCF.


What is a GCF?

The abbreviation "GCF" means Greatest Common Factor. A GCF is the highest number that can be multiplied that two numbers have in common. An example is that the number 4 is the GCF of 8 and 12. That means when you are comparing the numbers 8 and 12, the highest number that they share that can be multiplied to equal either 8 or 12, is 4.


Is there the greatest of the common factors of two more numbers is the least common factor of the numbers?

The least common factor of any set of integers is 1. If the numbers are co-prime, then the greatest common factor will also be 1 and thus the least and greatest common factors will be the same.


How is the greatest common factor of two numbers found if you know the prime common to the numbers?

If there's only one prime common to the numbers, that's the GCF. If there's more than one, multiply them together. That's the GCF.


How do you find the greatest common factor of 30135 using prime factorization?

You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factorization of 30135 is 3 x 5 x 7 x 7 x 41. The prime factorization of 98 is 2 x 7 x 7. The prime factors they have in common are 7 and 7, so the greatest common factor is 7 x 7 = 49.


What is the GCF for 7 and 3?

Greatest Common Factor is 1, since 3 and 7 are both prime numbers which means that they can only be equaled when multiplied by one.


What is the great common denominator?

The GCD is found by finding all the prime numbers that divide into each that multiplied together give the original number.


What is the greates common factor of 12 and 13?

To get the greatest common factor you must multiply the two numbers together, in this case giving you 156.


Can two even numbers have a greatest common multiple of 1?

The greatest common multiple of any set of numbers is infinite. The greatest common multiple of any set of numbers will never be one.


Can you find the greatest common multiple of two numbers?

The greatest common multiple of any two numbers is infinite.


What is the greatest common multiple of 14 and 18?

There is no such thing as a greatest common multiple for any numbers. There is a greatest common divisor and that is 2.


Does 37 have a greatest common factor?

No. There is not a greatest common factor of a single number, such as 37, because there cannot be a greatest common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common.


Can two odd numbers have a greatest common factor that is an even number?

No, two odd numbers cannot have a greatest common factor that is an even number, because no odd number can have an even number as a factor. Any even number multiplied by any other whole number is always an even number.


Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?

Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.


What is the greatest factor common to 3 multiplied by 7 and 5 multiplied by 18?

The GCF of 21 and 90 is 3.