# Factors of 89

Factors of 89 are 1 and 89

#### How to find factors of a number

 1.   Find factors of 89 using Division Method 2.   Find factors of 89 using Prime Factorization 3.   Find factors of 89 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 89

• Divide 89 by 1: 89 ÷ 1 : Remainder = 0
• Divide 89 by 89: 89 ÷ 89 : Remainder = 0

Hence, Factors of 89 are 1 and 89

#### 2. Steps to find factors of 89 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 89 using the division method, follow these steps:

• Step 1. Start dividing 89 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 89, which is 89. Divide 89 by 89 to obtain the quotient (1).
89 ÷ 89 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 89 is, 89 = 89.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 89 as shown below:

So, the prime factorization of 89 is, 89 = 89.

#### 3. Find factors of 89 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 89 would be the two numbers which, when multiplied, give 89 as the result.

The following table represents the calculation of factors of 89 in pairs:

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 ) , .

#### 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.

• What is prime factorization of 89?

Prime factorization of 89 is 89.

• How do you find factors of a negative number? ( eg. -89 )?

Factors of -89 are -1, -89.

• What are the prime factors of 89?

The factors of 89 are 1, 89.
Prime factors of 89 are 89.

• What are pair factors of 89?

The pair factors of 89 are (1,89).

• What is the greatest prime factors of 89?

The greatest prime factor of 89 is 89.

• What are six multiples of 89?

First five multiples of 89 are 178, 267, 356, 445, 534, 623.

• What are factors of 89?

Factors of 89 are 1, 89.

• Which is the smallest prime factor of 89?

Smallest prime factor of 89 is 89.

• Is 89 a whole number?

Yes 89 is a whole number.

#### Examples of Factors

Kevin has been asked to write 1 factor(s) of 89. Can you predict the answer?

1 factor(s) of 89 is 1.

Sammy is puzzled while calculating the prime factors of 89. Can you help him find them?

Factors of 89 are 1, 89.
Prime factors of 89 are 89

What is prime factorization of 89?

Prime factorization of 89 is 89 = 89.

Ariel has been assigned the task to find the product of all the prime factors of 89. Can you help her?

Prime factors of 89 are 89.
Hence, the product of prime factors of 89.

Can you help Rubel to find out the product of the even factors of 89?

Factors of 89 are 1, 89.
Even factors of 89 are 0.
Hence, product of even factors of 89 is; 0 = 0.

Joy wants to calculate mean of all the factors of 89. Help him in finding the mean of 89.

Factors of 89 are 1, 89.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 89 is 1 + 89 = 90.
Hence, the mean of factors of 89 is 90 ÷ 2 = 45.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 89? Help her in writing all the factors.

Positive factors are 1, 89.
Negative factors are -1, -89.