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It depends what you mean by symmetric. If you mean that there are the same number of factors on each branch, then the answer is No. eg

20

/ \

4 5

/ \

2 2

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Q: Is there a symmetric factor tree for every composite number?
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Related questions

Can you make a symmetric factor tree for every composite number?

No you cannot. You might want to try the factor tree for 27.


Does every composite number have a least one factor that is a prime number?

Yes.


Do you need to list every factor of a number to tell if it is prime or composite?

No. As soon as you have more than two, it's composite.


What are the even numbers that are composite in between 30 and 50?

All even numbers are composite, because 2 is a factor of every even number.


Does every composite number only have two prime factors?

no, because a composite number can be found by multiplying three prime numbers. 3*2*5 = 30, and 30 is a composite number and also has 3 prime factors. Every prime number has 1 prime factor by the way, itself. 1 is neither prime nor composite.


Why is every number greater than 1 is either prime or composite?

That is how they are defined. Any number greater than 1 is composite if it has a factor other than 1 and itself. If it is not a composite number then it is a prime number. It mustbe one or the other and the result follows.


Does every number have prime factorization?

Every number has at least one factor, the number 1.Every number greater than 1 has at least two factors, 1 and itself.Any number with exactly 2 factors is prime.Any number with more than 2 factors is composite; in this case it can be factorised completely into primes.The number 1 has only one factor. It is therefore neither prime nor composite.


What is so special about number 1?

1 is the smallest natural number. 1 is the factor of every number. 1 is neither prime nor composite.


Is fourteen a composite number?

yes every even number is composite


Which number is a factor of every number?

1 is a factor of every number.1 is a factor of every number.


Is 1814 a prime number or composite number?

Every even number except 2 is a composite number. 1814 is also an even number, therefore it is a composite number.


Is every composite number a square number?

No.