Introduction
The number 34 is a composite number, meaning it can be expressed as the product of two smaller numbers. The prime factorization of 34 is 2 * 17, which means that 34 is divisible by both 2 and 17.
How Many Times Does 1 Appear in 34?
The number 1 does not appear in the prime factorization of 34, so it does not appear in 34 itself.
How Many Times Does 3 Appear in 34?
The number 3 does not appear in the prime factorization of 34, so it does not appear in 34 itself.
Applications
The fact that 1 and 3 do not appear in the prime factorization of 34 has several applications. For example, it means that 34 cannot be expressed as the sum of two squares. It also means that 34 is not a perfect number.
Conclusion
The number 1 and 3 do not appear in the prime factorization of 34, so they do not appear in 34 itself. This has several applications, including the fact that 34 cannot be expressed as the sum of two squares and is not a perfect number.
Additional Information
Here are some additional facts about the number 34:
- It is the atomic number of selenium.
- It is the number of bones in the human skull.
- It is the number of states in the United States of America.
- It is the number of years in a generation.
Tables
Here are four tables that provide additional information about the number 34:
| Property | Value |
|---|---|
| Prime factorization | 2 * 17 |
| Number of divisors | 4 |
| Sum of divisors | 38 |
| Perfect number | No |
| Factor | Power |
|---|---|
| 2 | 1 |
| 17 | 1 |
| Divisor | Sum of divisors |
|---|---|
| 1 | 1 |
| 2 | 3 |
| 17 | 18 |
| 34 | 38 |
| Application | Description |
|---|---|
| Sum of two squares | 34 cannot be expressed as the sum of two squares. |
| Perfect number | 34 is not a perfect number. |
| Atomic number | 34 is the atomic number of selenium. |
| Number of bones in the human skull | There are 34 bones in the human skull. |
Tips and Tricks
Here are some tips and tricks for working with the number 34:
- To find the prime factorization of 34, you can use a method called prime factorization.
- To find the number of divisors of 34, you can use the formula (p + 1)(q + 1), where p and q are the prime factors of 34.
- To find the sum of the divisors of 34, you can use the formula (p^2 + 1)(q^2 + 1), where p and q are the prime factors of 34.
Common Mistakes to Avoid
Here are some common mistakes to avoid when working with the number 34:
- Do not confuse 34 with 43.
- Do not forget that 34 is a composite number.
- Do not assume that 34 is a perfect number.