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Factors of 17
Factors of 17 are numbers that, when multiplied in pairs give the product as 17. There are overall 2 factors of 17 i.e. 1 and 17 where 17 is the biggest factor. The sum of all factors of 17 is 18. Its Prime Factors is 1, 17 and (1, 17) are Pair Factors.
 Factors of 17: 1 and 17
 Negative Factors of 17: 1 and 17
 Prime Factors of 17: 17
 Prime Factorization of 17: 17
 Sum of Factors of 17: 18
1.  What Are the Factors of 17? 
2.  Important Notes 
3.  How to Calculate the Factors of 17? 
4.  Factors of 17 by Prime Factorization 
5.  Factors of 17 in Pairs 
6.  FAQs on Factors of 17 
What Are the Factors of 17?
Factors are whole numbers that divide the given number completely without leaving any remainder.
The factors of 17 are 1 and 17.
This shows that 17 is a prime number because it has no factors other than 1 and itself.
How to Calculate the Factors of 17?
We can use different methods like the divisibility test, prime factorization, and the upsidedown division method to calculate the factors of 17. In prime factorization, we express 17 as a product of its prime factors.
Explore factors using illustrations and interactive examples.
 Factors of 175  The factors of 175 are 1, 5, 7, 25, 35, 175
 Factors of 117  The factors of 117 are 1, 3, 9, 13, 39, 117
 Factors of 16  The factors of 16 are 1, 2, 4, 6, 8, 16
 Factors of 19  The factors of 19 are 1, 19
 Factors of 20  The factors of 20 are 1, 2, 4, 5, 10, 20
 Factors of 68  The factors of 68 are 1, 2, 4, 17, 34, and 68
Factors of 17 by Prime Factorization
Prime factorization is expressing the number as a product of its factors which are prime. We can do the prime factorization of any number by:
 Upsidedown division method or
 Factor tree method
Prime factorization by division method:
We know that 1 is a factor of every number, and 17 is not a multiple of any number. So, we factorize 17 as:
By prime factorization method, we get 17 = 1 × 17. Therefore, there are no other prime factors of 17 other than 17 itself.
Factors of 17 in Pairs
Any set of two numbers that pair up to give the product as 17 are its factor pairs.
17 = 1 × 17
Therefore, the pair factors of 17 are (1, 17).
A number can have negative pair factors as well. This is because of the fact that the product of two negative numbers is positive.
Hence, (1,17) is also a factor pair of 17.
Important Notes:
 There are only 2 factors of 17, which are 1 and 17.
 The factor pairs of 17 are (1,17) and (17,1).
 17 is a prime number.
Factors of 17 Solved Examples

Example 1: List the factors of 17 and write its factor pairs.
Solution:
17 = 1 × 17
Therefore, the factors of 17 are 1 and 17.
Hence, the factor pairs are (1, 17) and (17, 1). 
Example 2: There are 17 plates on the dining table. Can you think of the different ways in which we can stack them?
Solution:
To solve this problem, we need to know the factors of 17.
The factors of 17 = 1, 17
Let's see how the factor pairs can help us.
Factor pairs of 17 = (1, 17), (17, 1).
The first pair tells us that we can keep 1 stack of 17 plates.
The second pair tells us that we can keep 17 stacks of 1 plate.
Hence, we can have 2 possible arrangements.

Example 3: Find the product of all the prime factors of 17.
Solution:
Since, the prime factors of 17 are 17. Therefore, the product of prime factors = 17 = 17.
FAQs on Factors of 17
What are the Factors of 17?
The factors of 17 are 1, 17 and its negative factors are 1, 17.
What is the Sum of all the Factors of 17?
Factors of 17 are 1, 17 and, the sum of all these factors is 1 + 17 = 18
What is the Greatest Common Factor of 17 and 3?
The factors of 17 are 1, 17 and the factors of 3 are 1, 3. 17 and 3 have only one common factor which is 1. This implies that 17 and 3 are coprime.
Hence, the Greatest Common Factor (GCF) of 17 and 3 is 1.
What are the Prime Factors of 17?
The prime factor of 17 is 17.
How Many Factors of 17 are also common to the Factors of 4?
Since, the factors of 17 are 1, 17 and factors of 4 are 1, 2, 4. Hence, 17 and 4 have only one common factor which is 1. Therefore, 17 and 4 are coprime.
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