Factors of 89
Factors of 89 are the list of integers that can be evenly divided into 89. There are overall 2 factors of 89 i.e. 1 and 89 where 89 is the biggest factor. The sum of all factors of 89 is 90. Its Prime Factors are 1, 89, and (1, 89) are Pair Factors.
 Factors of 89: 1 and 89
 Negative Factors of 89: 1 and 89
 Prime Factors of 89: 89
 Prime Factorization of 89: 89
 Sum of Factors of 89: 90
1.  What Are the Factors of 89? 
2.  How to Calculate Factors of 89? 
3.  Factors of 89 by Prime Factorization 
4.  Factors of 89 in Pairs 
5.  FAQs on Factors of 89 
What are the Factors of 89?
Factors of 89 are the numbers which when multiplied in pairs give the product as 89. Factors of 89 are those numbers that exactly divide it and gives the remainder as 0.
 For example, 89 ÷ 89 = 1
You get 1 as a quotient and 0 as the remainder. This means 89 is divisible by 89. Hence the factors of 89 are 1 and 89.
How to Calculate the Factors of 89?
We can use different methods to find factors of 89 such as prime factorization and the division method. In prime factorization, we express 89 as a product of its prime factors and in the division method, we see what numbers divide 89 exactly without leaving a remainder.
Hence, the factors of 89 are 1 and 89.
Explore factors using illustrations and interactive examples
 Factors of 86  The factors of 86 are 1, 2, 43, 86
 Factors of 96  The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
 Factors of 72  The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
 Factors of 76  The factors of 76 are 1, 2, 4, 19, 38, 76
 Factors of 75  The factors of 75 are 1, 3, 5, 15, 25, 75
 Factors of 37  The factors of 37 are 1, 37
Factors of 89 by Prime Factorization
When we use the division method to find factors of 89. The division shows that the number 89 is exactly divisible by 1 and 89.
The factors of 89 can be represented by the upsidedown division method as:
Hence, the factors of 89 are 1 and 89. Here, 89 is a prime number.
Factors of 89 in Pairs
 The pair of numbers which gives 89 when multiplied is known as pair factors of 89
 1 × 89 and 89 × 1
 Therefore, factors of 89 in pairs are (1, 89) and (89, 1)
 When we multiply two negative numbers we get the positive resultant.
 If you multiply 1 and 89 we get 89 as a resultant, 1 × 89 = 89.
 89 also has negative pair factors (1, 89)
Think Tank:
 Can you think why 89 is a prime number?
 Think about the multiple of 89 which is also a factor of 89
 What can be the prime factors of 89?
Important Notes:
 The numbers which we multiply to get 89 are the factors of 89
 Factors of 89 are 1 and 89
 Pair factors of a number are a pair of two numbers which, when multiplied, give the original number.
 Factors of 89 in pairs are (1, 89) and (89, 1)
Factors of 89 Solved Examples

Example 1: Can you determine which number on multiplication with (1) gives 89?
Solution:
To find this, we need to divide 89 by (1) = 89/1 = 89
Hence,  89 on multiplying with  1 gives 89. 
Example 2: Help Tim find the positive pair factors of 89 from the list of all its factors.
Solution:
Factors of 89 are the numbers that divide 89 exactly without leaving any remainder. Factors of 89 are 1 and 89.
Factor pairs are the pair of two such numbers that, when multiplied, give 89.
We know that,
1 × 89 = 89 and 89 × 1 = 89
Hence, pair factors of 89 are (1, 89) and (89, 1). 
Example 3: How many factors are there for 89?
Solution:
The factors of 89 are 1, 89. Therefore, 89 has 2 factors.
FAQs on Factors of 89
What are the Factors of 89?
The factors of 89 are 1, 89 and its negative factors are 1, 89.
What is the Greatest Common Factor of 89 and 45?
The factors of 89 are 1, 89 and the factors of 45 are 1, 3, 5, 9, 15, 45. 89 and 45 have only one common factor which is 1. This implies that 89 and 45 are coprime.
Hence, the Greatest Common Factor (GCF) of 89 and 45 is 1.
What are the Common Factors of 89 and 11?
Since the factors of 89 are 1, 89, and factors of 11 are 1, 11. Hence, 89 and 11 have only one common factor which is 1. Therefore, 89 and 11 are coprime.
What numbers are the Pair Factors of 89?
The pair factors of 89 are (1, 89).
What is the Sum of the Factors of 89?
All the Factors of 89 are 1, 89 and therefore the sum of all these factors is 1 + 89 = 90
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