# Factors of 17 in pair

Factors of 17 in pair are (1, 17) ,

#### How to find factors of a number in pair

 1.   Steps to find factors of 17 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 17 in pair

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 define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 17 are 1 , 17. So, factors of 17 in pair are (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.

#### Steps to find Factors of 17

• Step 1. Find all the numbers that would divide 17 without leaving any remainder. Starting with the number 1 upto 8 (half of 17). The number 1 and the number itself are always factors of the given number.
17 ÷ 1 : Remainder = 0
17 ÷ 17 : Remainder = 0

Hence, Factors of 17 are 1 and 17

• Is 17 a perfect square?

No 17 is not a perfect square.

• Write five multiples of 17.

Five multiples of 17 are 34, 51, 68, 85, 102.

• Is there any even prime factor of 17?

No there is no even prime factor, i.e. 2, of 17.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Can you help Rubel in arranging 17 blocks in order to form a rectangle in all possible ways? For arranging 17 blocks in order to form a rectangle in all possible ways we need to find factors of 17 in pair.

Factors of 17 are 1, 17. So, factors of 17 in pair are (1,17).

How many total number of factors of 17 in pair are possible?

Factors of 17 are 1, 17. Hence, the factors of 17 in pair are (1,17). Therefore, in total 1 pairs of factors are possible.

Sammy wants to write all the negative factors of 17 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 17 are -1, -17. Hence, factors of 17 in pair are (-1,-17).

Find the product of all prime factors of 17.

Factors of 17 are 1, 17. Prime factors are 17. So, the product of all prime factors of 17 would be 17 = 17.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 17.
- Writing all prime factors of 17.
- Writing all the possible factors of 17 in pair.
Help him in writing all these.

Positive factors of 17 are 1, 17.
Prime factors of 17 are 17.
Factors of 17 in pair are (1,17).

Can you help Sammy list the factors of 17 and also find the factor pairs?

Factors of 17 are 1, 17.
Factors of 17 in pair are (1,17).

Help Diji in finding factors of 17 by Prime Factorization method and then sorting factors of 17 in pairs.

Prime factorization of 17 is 17. Factors of 17 in pair can be written as (1,17).

Write the smallest prime factor of 17.

Smallest prime factor of 17 is 17.