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Q: When you have to list factors can you use the same numbers twice?
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Why does a square number always have an odd number of factors?

Factors can be listed as factor pairs. With square numbers, one of those pairs will be the same number twice. When written as a list, only one of them will be used, leaving an odd number of factors.


Can two different numbers have the same list of factors?

Yes but,2and 1 are the only numbers that go in different factors.


Why do all non square numbers have even factors?

The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.


How can you find a GCF?

Example: GCF of 6 and 12= 2 Example 2: GCF of 54 and 6=9 List all the factors of the numbers you use, then if the numbers you have when you list the factors have the same number in both sets of numbers, that is your GCF


What are distinct factor?

"Distinct" in this case means different. Sometimes factors are repeated. Square numbers have a factor pair that is the same number twice. When we write out the list of numbers, we don't write that number twice. The factor pairs of 100 are (100,1)(50,2)(25,4)(20,5)(10,10) The distinct factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100


Why do all numbers other than square numbers have even factors?

All numbers can be broken down into factor pairs. No matter how many pairs there are, it's an even number of factors. Squares have a factor pair that consists of the same number twice. When you list them, you list the number once.


If factor pairs exist why doesn't every number have an even number of factors?

One factor pair of square numbers would be the same number twice. When you list them, you only write it once.


What is the meaning of greatest common factor?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Specific sets of numbers will have specific lists of common factors. The largest number on the list of common factors is the greatest common factor, or GCF. It is the largest number that will divide evenly with no remainder into a set of given numbers.


What is the true meaning of greatest common factor?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Specific sets of numbers will have specific lists of common factors. The largest number on the list of common factors is the greatest common factor, or GCF. It is the largest number that will divide evenly with no remainder into a set of given numbers.


What are common numbers?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors.


Factor that are the same for two or more numbers?

Common factors are factors that are the same for two or more numbers.


What do common factors represent?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors.