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Q: Can you put the same number twice in a factor rainbow?
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Is a factor pair the same as a factor rainbow?

A factor rainbow will show all of the factors. A factor pair is just 2 numbers that are factors of the number you want to find.


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.


Why does 16 have an odd number of factors?

It's a square number. Square numbers have a factor pair that is the same number twice. When listed, that number occurs once.


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.


Do a factor tree and factor rainbow?

It's tough to guess what the rest of this question would have been. Factor trees and rainbows are essentially the same thing: ways to notate the process of finding the prime factorization of a given number. With a tree, you write the given number at the top of the page and work down until the lowest branch consists entirely of prime factors and with a rainbow you write the given number at the bottom of the page and work up until the highest arc consists entirely of prime factors. If your original question was going to be, "Do a factor tree and factor rainbow like each other?" I can't help you.


What does it mean to say that a number varies by a factor of two from another number?

Factors are terms that multiply. If two numbers differ by a factor of two, it means that one is twice the size of the other.


What are the greatest common factor of 240?

The greatest common factor is a function of two numbers-- it is the greatest factor that the numbers have in common. The concept does not apply to a single number. Now you can use the same number twice and ask what is the greatest common factor of 240 and 240 and the answer would be 240.


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 does number 25 have a odd number of factors?

Because it's a square number. All perfect squares have an odd number of factors because they have one factor pair that is the same number twice (the square root) and when the factors are listed, the number is listed once.


What is the sum of twice a number and 14 less than the number is the same as the difference between -6 and the number?

20


Is a factor the same as a square number?

No.


What is a factor rainbow for 142?

Factor trees, ladders, fireworks, rainbows... They're all the same thing. A way to display the prime factors of a given number. The prime factorization of 142 is 2 x 71. Arrange the 2 and the 71 however you wish.