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

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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

Yes.

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

No

No, 1 is a factor of every whole number because 1 is a factor of every whole number.

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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

Yes.

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

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

1 is neither a prime number nor a composite number. Its only factor is itself whereas every prime number has two factors: 1 and itself.

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

yes every even number is composite

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.

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.

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

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.

No.

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