Do any numbers have 3 factors?
Table of Contents
Do any numbers have 3 factors?
As it turns out, the only positive integers with exactly three factors are the squares of primes. For instance, the factors of 9 are 1, 3, and 9, and the factors of 49 are 1, 7, and 49.
How many numbers less than 1000 have exactly 3 factors?
A quick google search tells me that the first primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31. So that’s 11 prime numbers whose squares will be natural numbers less than 1000 with exactly 3 factors.
What is the number of factors 3?
Table of Factors and Multiples
| Factors | Multiples | |
|---|---|---|
| 1, 3 | 3 | 9 |
| 1, 2, 4 | 4 | 12 |
| 1, 5 | 5 | 15 |
| 1, 2, 3, 6 | 6 | 18 |
What numbers less than 100 have exactly 3 factors?
Question 10 We know that the numbers between 1 and 100 which have exactly three factors are 4, 9, 25 and 49. Factors of 4 are 1, 2 and 4. Factors of 9 are 1, 3 and 9. Factors of 25 are 1, 5 and 25.
How many no less than 500 have exactly 3 factors?
A number has exactly 3 positive divisors iff it is of the form p2 where p is prime. The following are <500: 4, 9, 25, 49, 121, 169, 289, 361 (8 numbers).
What are the factors of 1 to 100?
Table of factors from 1 to 100
| Number | Factors | Prime or Composite |
|---|---|---|
| 97 | 1, 97 | Prime |
| 98 | 1, 2, 7, 14, 49, 98 | Composite |
| 99 | 1, 3, 9, 11, 33, 99 | Composite |
| 100 | 1, 2, 4, 5, 10, 20, 25, 50, 100 | Composite |
How many 1 digit numbers are there up to 100?
→ Total number of digits from 1 to 100 are = 9 + 90 * 2 + 3 = 9 + 180 + 3 = 192 digits (Ans.) therefore, the total number of digits from 1 to 100 are 192 .
What are the prime factors from 1 to 100?
The Prime numbers between the numbers 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Here, we can see that the total count of prime numbers is 25. Therefore, the Number of Prime between 1 to 100 is 25.