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.
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
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.
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
It's relatively easy to show that there are no numbers less than 1000 that are made of more than 4 different prime factors. The 5 smallest primes are 2, 3, 5, 7 and 11, and 2x3x5x7x11=2310. If the smallest 5 different primes multiplied together gives a product greater than 1000, then any other combination of 5 different primes would yield an even bigger number. So any number less than 1000 that is comprised of different prime numbers must only have 4 prime factors. So the smallest number that's a product of 4 different primes is 210 (=2x3x5x7), but there are several other numbers less than 1000 that are made of 4 different prime factors. A complete list follows: 2x3x5x7 = 210 2x3x5x11 = 330 2x3x7x11 = 462 2x5x7x11 = 770 2x3x5x13 = 390 2x3x11x13 = 858 2x3x5x17 = 510 2x3x7x17 = 714 2x3x5x19 = 570 2x3x7x19 = 798 2x3x5x23 = 690 2x3x7x23 = 966 2x3x5x29 = 870 2x3x5x31 = 930
It is 97 which has only two factors because it is a prime number
Start with 1000 and work back, rejecting any composites that you find.
Literally every single even number less than 1000 is a composite number other than 2 which is prime.
There are a bunch with 4. The smallest of these is 2 x 3 x 5 x 7 = 210
A number is prime if its only two factors are one and itself.
There are 31 numbers less than 1,000 which have an odd number of factors. They are: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,529,576,625,676,729,784,841,900,961.
3, 9, 27, 81, 243, 729
If you're allowed to repeat factors, 2 x 2 x 2 x 2 = 16. If not, no number less than 100 has more than 3 distinct prime factors.
All of the numbers less than 100 (except for -1, 0 and 1) have prime factors. I suspect you left some qualifying information out of your question.