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Q: How many numbers less than 100 have exactly nine distinct factors?
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What are all the numbers less than 100 with exactly 3 factors that are prime?

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


Which numbers are not composite numbers?

Composite numbers have more than two factors. So, the numbers which have two or less than two factors are not composite numbers. Numbers which have exactly two factors are prime numbers. 1 is an exceptional case because it is neither prime nor composite since it has only one factor which is 1.


What are 3 Numbers that are less than 100 and have exactly 4 factors each?

6, 8 and 91 and three examples.


What number less than 100 has exactly 4 prime factors?

There is more than one possible answer. The prime factors of 16 are 2, 2, 2, and 2. It has four prime factors, but only one distinct prime factor. The prime factors of 24 are 2, 2, 2, and 3. It has four prime factors, but only two distinct prime factors. The prime factors of 36 are 2, 2, 3, and 3. It has four prime factors, but only two distinct prime factors. The prime factors of 40 are 2, 2, 2, and 5. It has four prime factors, but only two distinct prime factors. The prime factors of 54 are 2, 3, 3, and 3. It has four prime factors, but only two distinct prime factors. The prime factors of 56 are 2, 2, 2, and 7. It has four prime factors, but only two distinct prime factors. The prime factors of 60 are 2, 2, 3, and 5. It has four prime factors, but only three distinct prime factors. The prime factors of 81 are 3, 3, 3, and 3. It has four prime factors, but only one distinct prime factor. The prime factors of 84 are 2, 2, 3, and 7. It has four prime factors, but only three distinct prime factors. The prime factors of 88 are 2, 2, 2, and 11. It has four prime factors, but only two distinct prime factors. The prime factors of 90 are 2, 3, 3, and 5. It has four prime factors, but only three distinct prime factors.


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the numbers explain?

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.

Related questions

How many natural numbers less than 1000 have exactly three distinct positive integer divisors?

Prime squares have three factors. There are 11 of them in that range.


What is the least natural number that has exactly 4 distinct odd factors?

3*5*7*9 = 945 ...check if any number less than that has exactly four distinct factors.


What are all the numbers less than 100 with exactly 3 factors that are prime?

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


Which numbers less than 100 have exactly 12 distinct factors?

24edit: nonethe smallest number with 12 distinct factors would be2*3*5*7*11*13*17*19*23*29*31*37>>100


How many numbers are there less than thirty have exactly 6 factors?

Four numbers less than thirty, 12, 18, 20, and 28, each have exactly 6 factors.


What are 3 numbers less than 50 that have exactly 2 factors?

4, 9, 25 and 49 They are squares of prime numbers.


How many natural numbers less than 1000 will have exactly 3 factors?

11


How many whole numbers less than 2010 have exactly three factors?

14 (I think).


How many numbers less than 10 have exactly 2 factors?

there are 3 no.2,3 & 5


All odd numbers less than 30 that are prime?

Prime number are number which have exactly two distinct factors, 1 and itself. Odd primes less than 30 are: 3, 5, 7, 11, 13, 17, 19, 23 and 29.


Numbers less than 10 that have exactly 2 factors?

1, 2, 3, 5, and 7


What 3 numbers less than 50 have exactly 2 factors?

Every prime number has exactly two factors. They are '1' and the number itself. There are 15 prime numbers less than 50. A few of them are 2, 3, 5, 7, 11, 13, and 47.