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Q: What numbers between 1000 and 10000 have 2 as their only prime factor?

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Powers of 2 2,4,8,16,32 and so on.

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You can not factor prime numbers, that is why they are prime numbers

Not a lot. They're both prime numbers. A factor that is prime is used to make other numbers.

All of the prime numbers up to 10000 can be prime factors.

The numbers 10007, 10009, 10037 and 10039 are prime.

Prime numbers are infinite.

Prime numbers go on forever.

All numbers have factors. Some factors are prime numbers. A prime factor is a factor that is a prime number. A common prime factor is a prime factor that appears on the list of factors of two or more given numbers.

The first two prime numbers after 10000 are 10007 and 10009.

Factors are just numbers. Some numbers are positive, some negative. Some numbers are prime, some composite. A prime factor is always positive, but a positive factor is not always prime.

41, 43 and 47 are the prime numbers between 40 and 50. Any nonzero number can be a factor.

127 prime numbers in that range. See related link for prime numbers up to 10000. Plus there is a link to download Zip files of prime numbers up to 1 million.

All numbers have factors. Some factors are prime numbers, some are not.

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All nonzero numbers have factors. Some factors are prime numbers. 5 is a prime factor of 10.

Prime numbers.

Prime numbers can be factors.

Since all numbers have one as a factor, there is no number with three as its only factor.

Prime numbers have one distinct prime factor.

All prime numbers have a common factor of 1.

The least common factor of any set of numbers is 1.

Since prime numbers only have one prime factor (themselves), factor trees are unnecessary.

All numbers have factors. Some factors are prime numbers. We call these numbers prime factors. 3 is a prime factor of 12.