Table of Contents
Which numbers has exactly 4 factors?
Some examples of numbers with exactly four factors are 6, 15, and 21. For 6, the factors are 1, 2, 3, and 6, and for 15, the factors are 1, 3, 5, and 15. Similarly, for 21, the factors are 1, 3, 7, and 21.
How many numbers less than 100 have exactly four factors?
Answers: There are 32 numbers less than 100 with exactly four factors.
What number has more than 4 factors?
Number | Composite, Prime, or Neither? | Explanation |
---|---|---|
3 | Prime | 3 has only the factors 3 and 1. |
4 | Composite | 4 has more than two factors: 1, 2, and 4, so it is composite. |
5, 7,11,13 | Prime | Each number has only two factors: 1 and itself. |
6, 8, 9,10, 50, 63 | Composite | Each number has more than two factors. |
What are the factors of 4 and 1?
1 and 4 are always the factors of the number 4. To find the other factors of the number 4, we first find its prime factorization. The multiplicands of the prime factorization are the prime factors of the number 4.
What is the HCF of 1 and 4?
The GCF of 1 and 4 is 1.
What three numbers between 1 and 100 have the most factors?
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 numbers between 1 and 100 have exactly three factors?
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 numbers have exactly 4 factors (divisors)?
So, there are 2 values of q. Thus, there are 2 + 30 = 32 numbers that have exactly 4 factors (divisors). Every number x can be represented in this manner. Number of factors of x is ( 1 + b 1) ∗ ( 1 + b 2) ∗ ( 1 + b 3) …
What is the formula for the number of factors of a number?
The formula for number of factors of a number given the prime factors of the number in the form p 1 e 1 ∗ p 2 e 2 ∗ p 3 e 3 ∗… ∗ p n e n (where p i is prime and e i is a natural number) is simply ∏ k = 0 n e k + 1. Or in other words, we add one to the exponent of each prime number and multiply them all together.
What is the number of factors of X between 1 and 100?
Number of factors of x is ( 1 + b 1) ∗ ( 1 + b 2) ∗ ( 1 + b 3) … Prime cubes between 1 and 100 are 8 and 27. So, 2 cases. Every number x can be represented in this manner. Number of factors of x is ( 1 + b 1) ∗ ( 1 + b 2) ∗ ( 1 + b 3) …