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Q: What number less than 1000 has the most prime factors?

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The greatest possible 'length' comes from the number with the greatest number of prime factors. The greatest number of factors is created by using the smallest prime number, 2, as a factor as many times as possible. Since 2^9=512 and 2^10=1024, the greatest possible 'length' of a positive integer less than 1000 is 9.

Perfect squares have an odd number of factors. There are 31 perfect squares less than 1000.

By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.

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Literally every single even number less than 1000 is a composite number other than 2 which is prime.

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210 has 4, which is the maximum possible. There are other numbers with 4 different prime factors.

The largest prime number less than 1000 is 997.The largest prime number no less than 1000 is currently 257,885,161-1

no, factors of a number would be less than that of the original number. A prime number is a number that has factors of only itself and 1.

The greatest possible 'length' comes from the number with the greatest number of prime factors. The greatest number of factors is created by using the smallest prime number, 2, as a factor as many times as possible. Since 2^9=512 and 2^10=1024, the greatest possible 'length' of a positive integer less than 1000 is 9.

Perfect squares have an odd number of factors. There are 31 perfect squares less than 1000.

No whole number has only three prime factors. At the very least, every number has one as a factor, which is not prime.

How about 105 whose prime factors are 3, 5 and 7

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31

The prime numbers less than 13 have the fewest factors. They are:235711

It is 97 which has only two factors because it is a prime number

By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.

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