# Factors of 17

Factors of 17 are 1 and 17

#### How to find factors of a number

 1.   Find factors of 17 using Division Method 2.   Find factors of 17 using Prime Factorization 3.   Find factors of 17 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 17

• Divide 17 by 1: 17 ÷ 1 : Remainder = 0
• Divide 17 by 17: 17 ÷ 17 : Remainder = 0

Hence, Factors of 17 are 1 and 17

#### 2. Steps to find factors of 17 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 17 using the division method, follow these steps:

• Step 1. Start dividing 17 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 17, which is 17. Divide 17 by 17 to obtain the quotient (1).
17 ÷ 17 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 17 is, 17 = 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 17 as shown below:

So, the prime factorization of 17 is, 17 = 17.

#### 3. Find factors of 17 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 17 would be the two numbers which, when multiplied, give 17 as the result.

The following table represents the calculation of factors of 17 in pairs:

Factor Pair Pair Factorization
1 and 17 1 x 17 = 17

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 17. They are called negative pair factors.

Hence, the negative pairs of 17 would be ( -1 , -17 ) , .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 17 are exact divisors of 17.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 17 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 17.

• What is prime factorization of 17?

Prime factorization of 17 is 17.

• How do you find factors of a negative number? ( eg. -17 )?

Factors of -17 are -1, -17.

• What are the prime factors of 17?

The factors of 17 are 1, 17.
Prime factors of 17 are 17.

• What are pair factors of 17?

The pair factors of 17 are (1,17).

• What is the greatest prime factors of 17?

The greatest prime factor of 17 is 17.

• What are six multiples of 17?

First five multiples of 17 are 34, 51, 68, 85, 102, 119.

• What are factors of 17?

Factors of 17 are 1, 17.

• Which is the smallest prime factor of 17?

Smallest prime factor of 17 is 17.

• Is 17 a whole number?

Yes 17 is a whole number.

#### Examples of Factors

Kevin has been asked to write 1 factor(s) of 17. Can you predict the answer?

1 factor(s) of 17 is 1.

Sammy is puzzled while calculating the prime factors of 17. Can you help him find them?

Factors of 17 are 1, 17.
Prime factors of 17 are 17

What is prime factorization of 17?

Prime factorization of 17 is 17 = 17.

Ariel has been assigned the task to find the product of all the prime factors of 17. Can you help her?

Prime factors of 17 are 17.
Hence, the product of prime factors of 17.

Can you help Rubel to find out the product of the even factors of 17?

Factors of 17 are 1, 17.
Even factors of 17 are 0.
Hence, product of even factors of 17 is; 0 = 0.

Joy wants to calculate mean of all the factors of 17. Help him in finding the mean of 17.

Factors of 17 are 1, 17.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 17 is 1 + 17 = 18.
Hence, the mean of factors of 17 is 18 ÷ 2 = 9.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 17? Help her in writing all the factors.

Positive factors are 1, 17.
Negative factors are -1, -17.