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512 = 29

or

768 = 28*3 have 9 prime factors each.

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.

15

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

Related questions

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

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.

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.

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

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

31

840

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

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

Numbers can be checked to see if they are primes simply by factoring them. Every prime number has exactly two factors, 1 and the number itself. If there are more or less than 2 factors, the number is not a prime. 1 has only one factor so it is not a prime, and composite numbers have 3 or more factors.

A number is prime if its only two factors are one and itself.