# Factors of 89 in pair

Factors of 89 in pair are (1, 89) ,

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

 1.   Steps to find factors of 89 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 89 in pair

Factor Pair Pair Factorization
1 and 89 1 x 89 = 89

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 89. They are called negative pair factors.

Hence, the negative pairs of 89 would be ( -1 , -89 ) , .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 89 are 1 , 89. So, factors of 89 in pair are (1,89).

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of Factors

• Every factor of a number is an exact divisor of that number, example 1, 89 are exact divisors of 89.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 89 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 89.

#### Steps to find Factors of 89

• Step 1. Find all the numbers that would divide 89 without leaving any remainder. Starting with the number 1 upto 44 (half of 89). The number 1 and the number itself are always factors of the given number.
89 ÷ 1 : Remainder = 0
89 ÷ 89 : Remainder = 0

Hence, Factors of 89 are 1 and 89

• Is 89 a perfect square?

No 89 is not a perfect square.

• Write five multiples of 89.

Five multiples of 89 are 178, 267, 356, 445, 534.

• Is there any even prime factor of 89?

No there is no even prime factor, i.e. 2, of 89.

• 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 89 blocks in order to form a rectangle in all possible ways? For arranging 89 blocks in order to form a rectangle in all possible ways we need to find factors of 89 in pair.

Factors of 89 are 1, 89. So, factors of 89 in pair are (1,89).

How many total number of factors of 89 in pair are possible?

Factors of 89 are 1, 89. Hence, the factors of 89 in pair are (1,89). Therefore, in total 1 pairs of factors are possible.

Sammy wants to write all the negative factors of 89 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 89 are -1, -89. Hence, factors of 89 in pair are (-1,-89).

Find the product of all prime factors of 89.

Factors of 89 are 1, 89. Prime factors are 89. So, the product of all prime factors of 89 would be 89 = 89.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 89.
- Writing all prime factors of 89.
- Writing all the possible factors of 89 in pair.
Help him in writing all these.

Positive factors of 89 are 1, 89.
Prime factors of 89 are 89.
Factors of 89 in pair are (1,89).

Can you help Sammy list the factors of 89 and also find the factor pairs?

Factors of 89 are 1, 89.
Factors of 89 in pair are (1,89).

Help Diji in finding factors of 89 by Prime Factorization method and then sorting factors of 89 in pairs.

Prime factorization of 89 is 89. Factors of 89 in pair can be written as (1,89).

Write the smallest prime factor of 89.

Smallest prime factor of 89 is 89.