Factors of 34 are the list of integers that can be evenly divided into 34. There are overall 4 factors of 34 among which 34 is the biggest factor and 1, 2, 17, and 34 are positive factors. The Prime Factors and Pair Factors of 34 are 1, 2, 17, 34 and (1, 34) and (2, 17) respectively.
- Factors of 34: 1, 2, 17 and 34
- Negative Factors of 34: -1, -2, -17 and -34
- Prime Factors of 34: 2, 17
- Prime Factorization of 34: 2 × 17 = 2 × 17
- Sum of Factors of 34: 54
| 1. | What Are the Factors of 34? |
| 2. | How to Calculate the Factors of 34? |
| 3. | Tips and Tricks |
| 4. | Factors of 34 by Prime Factorization |
| 5. | Factors of 34 in Pairs |
| 6. | FAQs on Factors of 34 |
What Are the Factors of 34?
Before we learn about factors of 34, let's learn about factors. Factors of 34are all the numbers which on multiplyinggive the value 34.
How to Calculate the Factors of 34?
Let's learn how to calculate factors of 34.
- Step 1: Write down the number to be factored, which is 34.
- Step 2: Find the two numbers whose product gives 34.
34 is written as a product of 2and 17.
2 is a prime number. Hence, it can only be factored as 2and 1.
17is a prime number. Hence, it can be factored as 17and 1.
Hence, the factors of 34 are 1, 2,17, and 34.
Explore factors using illustrations and interactive examples.
- Factors of 17- The factors of 17are 1, 17
- Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
- Factors of 35- The factors of 35 are 1, 5, 7, 35
- Factors of 54- The factors of 54are 1, 2, 3, 6, 9, 18, 27, 54
- Factors of 30- The factors of 60are 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 75- The factors of 75 are 1,3, 5, 15, 25, 75
Tips and Tricks:
- 1 is the smallest factor of every number. Hence it is a factor of 34.
- 34 is aneven number. Hence2 is one of its factors.
Factors of 34 by Prime Factorization
Let's learn a bit about prime factorizationbefore we learn how to find the factors of 34.
Let's learn how to find factors using prime factorization.
- Step 1: Write the pair of factors that, on multiplication, give the required number.
- Step 2: Check whether each factor is prime or not.
- Step 3: Follow the below criterion to differentiate between the factorization procedure.
The criterion to differentiate between the procedure of factorization is given as follows:
- If both the numbers are prime, they can be multiplied as is.
- Ifone among them is prime and another one is composite, then the composite number is dissociated into its factors.
- If both the numbers are composite, they can be dissociated into factors.
Factors of 34by prime factorization are given by using the following steps.
- Step 1: Write the pair of factors that, on multiplication, give the required number.
34can be factored as a product of 2and 17.
- Step 2: See the factors, whether each one of them is prime or not.
2 is a prime number and can be dissociated as a product of 2and 1.
17is a prime number and can be dissociated as a product of 17and 1.
- Step 3: As per the criterion,
34can thereby be written as34= 2× 17.
The prime factors of 34can also be written as 34= 2× 17.
Factors of 34 in Pairs
The pair factors of 34can be given as below:
| Product of Factors | Pair Factors |
|---|---|
| 1 × 34 | 1, 34 |
| 2× 17 | 2, 17 |
Thefactors given above are all positive pair factors.It is possible to have negative pair factors as well because the product of two negative numbers is a positive number.
Let's have a look at negative pair factors.
| Product of Factors | Pair Factors |
|---|---|
| -1× -34 | -1, -34 |
| -2× -17 | -2, -17 |
Factors of 34 Solved Examples
Example 1: James owns a food truck burger. He can make 1burgerin 10 minutes. How much time will it take him to make 34 burgers?
Solution:
James can make 1 burger in 10 minutes.
The amount of time needed for Jamesto make34burgerswill be given by,34× 10= 340
Hence, Jameswill take 340minutes to make 34 burgers.
Example 2: Catherine works in a supermarket. She stands at one of the counters for billing. She found that the amount of money collected at the end of the day at her counter was $3400. If each person paid$50, how many customers came to her counter for billing?
Solution:
Catherine found that the amount of money collected at the end of the day was $3400.
Each person paid $50.The number of customers who came to her counter for billing are 3400/50 = 68.
Hence, 68 customers came to Catherine for billing.Example 3: Find the product of all the prime factors of 34.
Solution:
Since, the prime factors of 34 are 2, 17. Therefore, the product of prime factors = 2 × 17 = 34.
Show Solution >
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FAQs on Factors of 34
What are the Factors of 34?
The factors of 34 are 1, 2, 17, 34 and its negative factors are -1, -2, -17, -34.
What is the Greatest Common Factor of 34 and 10?
The factors of 34 and 10 are 1, 2, 17, 34 and 1, 2, 5, 10 respectively.
Common factors of 34 and 10 are [1, 2].
Hence, the Greatest Common Factor (GCF) of 34 and 10 is 2.
How Many Factors of 34 are also Factors of 26?
Since, the factors of 34 are 1, 2, 17, 34 and the factors of 26 are 1, 2, 13, 26.
Hence, [1, 2] are the common factors of 34 and 26.
What is the Sum of the Factors of 34?
Factors of 34 are 1, 2, 17, 34 and, the sum of all these factors is 1 + 2 + 17 + 34 = 54
What are the Pair Factors of 34?
The pair factors of 34 are (1, 34), (2, 17).
