Factors of 17

Factors of a number are any number that goes into the given, with no remainders. Let’s now find the factors of 17!

The factors of a number can be found using multiple different methods, apply the ones that you find easy to understand and solve through. Let us learn about these in detail!

Here, we find a pair of numbers that multiply to give the product 17. 

Steps: 

1.We have to identify the pair of numbers whose product is 17. 

In the case of 17, the only likely factor pair is 1 and 17. 

2.List these factors from the multiplication as factors. 

 

Factors using the multiplication method for 17 are — 1,17. 
 

In the division method, we divide the number 17 with integers to check if the numbers divide into 17 evenly. 

Steps: 

 

• Divide 17/1 = 17 

 

• Check the next integer, 2, 17/2=8.5 and proceed checking. 

 

• 17 is not divisible by any other number except itself, and no factors are found. 

 

•  Factors using the division method for 17 are — 1,17. 
   

Prime factors of 17 : 17 is a prime number. The only prime factor 17 has is 17. 

Prime factorization of 17 :When we prime factorize, we break down a number to smaller factors. In case of 17, however, the prime factorization of the number is just 17. 
 

Factor tree is a diagram that is used to break down the numbers into their prime factors. In the case of 17, no branches can be added, 17 is a prime number. 
 

The factors can be written as both positive and negative pairs. The product of these pairs will be equal to the original number. 

Positive factor pair — (1,17) 

Negative factor pair — (-1,-17) 
 

• Quotient: The result we obtain on dividing a number with the other 

 

• Odd numbers: numbers that have a remainder left behind when divided by 2

 

• Perfect squares: product we get on multiplying a whole number with itself