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Factors

Factors of 89 | Prime Factorization of 89 | Factor Tree of 89

Written by Prerit Jain

Updated on: 24 Aug 2023

Contents

1Factors of 12Factors of 23Factors of 34Factors of 45Factors of 56Factors of 67Factors of 78Factors of 89Factors of 910Factors of 1011Factors of 1112Factors of 1213Factors of 1314Factors of 1415Factors of 1516Factors of 1617Factors of 1718Factors of 1819Factors of 1920Factors of 2021Factors of 2122Factors of 2223Factors of 2324Factors of 2425Factors of 2526Factors of 2627Factors of 2728Factors of 2829Factors of 2930Factors of 3031Factors of 3132Factors of 3233Factors of 3334Factors of 3435Factors of 3536Factors of 3637Factors of 3738Factors of 3839Factors of 3940Factors of 4041Factors of 4142Factors of 4243Factors of 4344Factors of 4445Factors of 4546Factors of 4647Factors of 4748Factors of 4849Factors of 4950Factors of 5051Factors of 5152Factors of 5253Factors of 5354Factors of 5455Factors of 5556Factors of 5657Factors of 5758Factors of 5859Factors of 5960Factors of 6061Factors of 6162Factors of 6263Factors of 6364Factors of 6465Factors of 6566Factors of 6667Factors of 6768Factors of 6869Factors of 6970Factors of 7071Factors of 7172Factors of 7273Factors of 7474Factors of 7575Factors of 7676Factors of 7777Factors of 7878Factors of 7979Factors of 8080Factors of 8181Factors of 8282Factors of 8383Factors of 8484Factors of 8585Factors of 8686Factors of 8787Factors of 8888Factors of 8989Factors of 9090Factors of 9191Factors of 9292Factors of 9493Factors of 9694Factors of 9795Factors of 9896Factors of 9997Factors of 10098Factors of 10199Factors of 102100Factors of 103101Factors of 104102Factors of 105103Factors of 106104Factors of 107105Factors of 108106Factors of 109107Factors of 110108Factors of 111109Factors of 112110Factors of 113111Factors of 114112Factors of 115113Factors of 116114Factors of 117115Factors of 118116Factors of 119117Factors of 120118Factors of 122119Factors of 123120Factors of 124121Factors of 125122Factors of 126123Factors of 127124Factors of 128125Factors of 129126Factors of 130127Factors of 131128Factors of 132129Factors of 133130Factors of 134131Factors of 135132Factors of 136133Factors of 137134Factors of 138135Factors of 139136Factors of 140137Factors of 141138Factors of 142139Factors of 143140Factors of 144141Factors of 145142Factors of 146143Factors of 147144Factors of 148145Factors of 149146Factors of 150147Factors of 151148Factors of 152149Factors of 153150Factors of 154151Factors of 155152Factors of 156153Factors of 157154Factors of 158155Factors of 159156Factors of 160157Factors of 161158Factors of 162159Factors of 163160Factors of 167161Factors of 168162Factors of 169163Factors of 170164Factors of 172165Factors of 174166Factors of 176167Factors of 178168Factors of 180169Factors of 182170Factors of 184171Factors of 186172Factors of 188173Factors of 190174Factors of 192175Factors of 194176Factors of 196177Factors of 197178Factors of 200179Factors of 215180Factors of 216181Factors of 415
Factors of 89 | Prime Factorization of 89 | Factor Tree of 89

Factors of 89 | Prime Factorization of 89 | Factor Tree of 89

Factors of 89

Factors of 89Factor Pairs of 89Prime factors of 89
1, 89(1,89)89
Factors of 89, Factor Pairs of 89, Prime factors of 89

Calculate Factors of

The Factors are

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What are the factors of 89

To find the factors of a number, you need to identify which numbers can be divided into the number without a remainder. For example, the factors of 15 are 1, 3, 5, and 15, since these are the numbers that can be evenly divided into 15.

To find the factors of 89, you can start by dividing 89 by the smallest number, which is 1. 89 divided by 1 is 89 with a remainder of 0, so 1 is a factor of 89. You can then divide 89 by the next smallest number, which is 2. 89 divided by 2 is 44 with a remainder of 1, so 2 is not a factor of 89. The next smallest number is 3, and 89 divided by 3 is 29 with a remainder of 2, so 3 is not a factor of 89 either. You can continue this process with the next smallest numbers until you reach 89. When you divide 89 by 89, you get 1 with a remainder of 0, so 89 is a factor of 89.

How to Find Factors of 89

Here are four methods that you can use to find the factors of 89:

  1. Factors of 89 using the Multiplication Method
  2. Factors of 89 using the Division Method
  3. Prime Factorization of 89
  4. Factor tree of 89

Factors of 89 Using the Multiplication Method

To find the factors of a number using the multiplication method, you need to think about which pairs of numbers you can multiply together to get the number. For example, to find the factors of 10, you can try multiplying different pairs of numbers together to see if you can get 10. You might try 1 and 10, 2 and 5, or 5 and 2. When you multiply 1 and 10 together, you get 10, so 1 and 10 are both factors of 10. When you multiply 2 and 5 together, you also get 10, so 2 and 5 are both factors of 10.

To find the factors of 89 using the multiplication method, you can try multiplying different pairs of numbers together to see if you can get 89. You might try 1 and 89, 3 and 29, or 9 and 9. When you multiply 1 and 89 together, you get 89, so 1 and 89 are both factors of 89. When you multiply 3 and 29 together, you get 87, which is close to 89 but not quite the same. When you multiply 9 and 9 together, you get 81, which is also not 89. Therefore, the only factors of 89 are 1 and 89.

Factors of 89 Using the Division Method

To find the factors of 89 using the division method, you can follow these steps:

  • Begin by writing down the number 89.
  • Divide 89 by increasing integers until you find all of the factors. For example, you can divide 89 by 2, then by 3, then by 4, and so on until you find all of the factors.
  • Write down all of the integers that produced a whole number result when divided into 89. The factors of 89 are 1, 2, 4, and 89.

This method involves dividing 89 by increasing integers until you find all of the factors. You can start by dividing 89 by 2, then by 3, then by 4, and so on until you find all of the factors. In this case, the factors of 89 are 1, 2, 4, and 89.

Prime Factorization of 89

Calculate Prime Factors of

The Prime Factors of 89 =

89

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The prime factorization of 89 is 1 x 89.

To find the prime factorization of a number, you need to find the prime numbers that can be multiplied together to give the original number.

The prime factorization of a number is written as the product of its prime factors. For example, the prime factorization of 89 is written as 1 x 89.

Factor tree of 89

89
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A factor tree is a diagram that shows the prime factorization of a number by breaking it down into its factors. Here is a factor tree for the number 89:

89

|

89

Since 89 is a prime number, it is its own factor. Therefore, the factor tree for 89 consists of a single branch with 89 at the end of it.

More Factors

Factors of 89 – Quick Recap

  • Factors of 89: 1, 89.
  • Negative Factors of 89: (-1, -89) 
  • Prime Factors of 89: 89
  • Prime Factorization of 89: 89

Factors of 89 – Fun Facts

  • The factors of 89 are the numbers that can be multiplied together to produce 89. The factors of 89 are 1 and 89.
  • The number 89 is considered to be a lucky number in some cultures, as it is considered to be a symbol of abundance and prosperity.

Also Check: Multiples, Square Root, and LCM

Solved Examples of Factor of 89

Q.1: List all the pairs of factors for 89 in increasing order
Answer: The pairs of factors for 89 in increasing order are (1,89).

Q.2: What is the smallest number that can go into 89?
Solution:
The smallest number that can go into 89 is 1 since any number divided by 1 will remain unchanged.

Q.3: How many even factors does 89 have?
Solution:
Since 89 is an odd prime number, it does not have any even factors.     

Q.4: What is the greatest common factor for 87 and 94?   
Solution: The greatest common factor of 87 and 94 is 1.

Q.5: Is there any perfect square within the range of numerators from 85 to 91?   Solution: Yes, there is a perfect square within the range of numerators from 85 to 91. The perfect square within this range is 81, which is equal to 9^2.

Q.6: Does 86 have any cube factors? If so name them…    
Solution: No, 86 does not have any cube factors. A cube factor is a number that can be obtained by cubing an integer. Since 86 cannot be expressed as the cube of an integer, it does not have any cube factors.  


Q.7: What would be the least common multiple between 84 and 92?   
Solution:
The least common multiple of 84 and 92 is 1932

Q.8: Find the prime factorization of 89.   
Solution: Since 89 is a prime number itself, it does not have any other prime factors.

Frequently Asked Questions on Factors of 89

List all the pairs of factors for 89 in increasing order.

The pairs of factors for 89 in increasing order is (1,89) only.

What is the smallest number that can go into 89?

The smallest number that can go into 89 is 1 since any number divided by 1 will remain unchanged.

How many even factors does 89 have?

Since 89 is an odd prime number, it does not have any even factors.    

What is the greatest common factor for 87 and 95?

The GCF of 87 and 95 is 1.

Is there any perfect square within the range of numerators from 93 to 97?

No, there is no perfect square within this range.

What would be the least common multiple between 63 and 73?

The least common multiple of 63 and 73 is 4599.

Find the prime factorization of 89.

The prime factorization of 89 is 89 x 1.

Calculate Pair Factors of

1 x 89=89

So Pair Factors of 89 are

(1,89)

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Written by

Prerit Jain

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