Factors

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

Written by Prerit Jain

Updated on: 24 Aug 2023

## 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

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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.

## 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 by

Prerit Jain

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