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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 34Negative Factors of 34: -1, -2, -17 and -34Prime Factors of 34: 2, 17Prime Factorization of 34: 2 × 17 = 2 × 17Sum of Factors of 34: 54 What Are the Factors of 34?Before we learn about factors of 34, lets learn about factors. Factors of 34 are all the numbers which on multiplying give the value 34. How to Calculate the Factors of 34?Lets 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 2 and 17.2 is a prime number. Hence, it can only be factored as 2 and 1. 17 is a prime number. Hence, it can be factored as 17 and 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 17 are 1, 17Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32Factors of 35 - The factors of 35 are 1, 5, 7, 35Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54Factors of 30 - The factors of 60 are 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 an even number. Hence 2 is one of its factors. Factors of 34 by Prime FactorizationLets learn a bit about prime factorization before we learn how to find the factors of 34.Lets 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. If one 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 34 by prime factorization are given by using the following steps.Step 1: Write the pair of factors that, on multiplication, give the required number.34 can be factored as a product of 2 and 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 2 and 1.17 is a prime number and can be dissociated as a product of 17 and 1.Step 3: As per the criterion,34 can thereby be written as 34 = 2 × 17.The prime factors of 34 can also be written as 34 = 2 × 17.Factors of 34 in PairsThe pair factors of 34 can be given as below:Product of FactorsPair Factors1 × 341, 342 × 172, 17The factors 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.Lets have a look at negative pair factors.Product of FactorsPair Factors-1 × -34-1, -34-2 × -17-2, -17 Example 1: James owns a food truck burger. He can make 1 burger in 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 James to make 34 burgers will be given by,34 × 10 = 340Hence, James will take 340 minutes 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 340050 = 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. go to slidego to slidego to slide Break down tough concepts through simple visuals. Book a Free Trial Class 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 = 54What are the Pair Factors of 34?The pair factors of 34 are (1, 34), (2, 17).
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