# Factors of 4489

Factors of 4489 are 1, 67, and 4489

#### How to find factors of a number

 1.   Find factors of 4489 using Division Method 2.   Find factors of 4489 using Prime Factorization 3.   Find factors of 4489 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 4489

• Divide 4489 by 1: 4489 ÷ 1 : Remainder = 0
• Divide 4489 by 67: 4489 ÷ 67 : Remainder = 0
• Divide 4489 by 4489: 4489 ÷ 4489 : Remainder = 0

Hence, Factors of 4489 are 1, 67, and 4489

#### 2. Steps to find factors of 4489 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 4489 using the division method, follow these steps:

• Step 1. Start dividing 4489 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 4489, which is 67. Divide 4489 by 67 to obtain the quotient (67).
4489 ÷ 67 = 67
• Step 3. Repeat step 1 with the obtained quotient (67).
67 ÷ 67 = 1

So, the prime factorization of 4489 is, 4489 = 67 x 67.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 4489 as shown below:

So, the prime factorization of 4489 is, 4489 = 67 x 67.

#### 3. Find factors of 4489 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 4489 would be the two numbers which, when multiplied, give 4489 as the result.

The following table represents the calculation of factors of 4489 in pairs:

Factor Pair Pair Factorization
1 and 4489 1 x 4489 = 4489
67 and 67 67 x 67 = 4489

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 4489. They are called negative pair factors.

Hence, the negative pairs of 4489 would be ( -1 , -4489 ) , ( -67 , -67 ) .

#### 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, 67, 4489 are exact divisors of 4489.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 4489 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 4489.

• Which is the smallest prime factor of 4489?

The smallest prime factor of 4489 is 67.

• Is 4489 a whole number?

Yes 4489 is a whole number.

• What are the prime factors of 4489?

The factors of 4489 are 1, 67, 4489.
Prime factors of 4489 are 67, 67.

• What two numbers make 4489?

Two numbers that make 4489 are 67 and 67.

• What are multiples of 4489?

First five multiples of 4489 are 8978, 13467, 17956, 22445.

• What is the sum of all factors of 4489?

The sum of all factors of 4489 is 4557.

• What are five multiples of 4489?

First five multiples of 4489 are 8978, 13467, 17956, 22445, 26934.

• Is 4489 a perfect square?

Yes 4489 is a perfect square.

• What is the greatest prime factors of 4489?

The greatest prime factor of 4489 is 67.

#### Examples of Factors

How many factors are there for 4489?

Factors of 4489 are 1, 67, 4489.
So there are in total 3 factors.

Kevin has been asked to write 2 factor(s) of 4489. Can you predict the answer?

2 factor(s) of 4489 are 1, 67.

Sammy is puzzled while calculating the prime factors of 4489. Can you help him find them?

Factors of 4489 are 1, 67, 4489.
Prime factors of 4489 are 67, 67

What is prime factorization of 4489?

Prime factorization of 4489 is 67 x 67 = 672.

Ariel has been assigned the task to find the product of all the prime factors of 4489. Can you help her?

Prime factors of 4489 are 67, 67.
Hence, the product of prime factors of 67.

Can you help Rubel to find out the product of the even factors of 4489?

Factors of 4489 are 1, 67, 4489.
Even factors of 4489 are 0.
Hence, product of even factors of 4489 is; 0 = 0.

Joy wants to calculate mean of all the factors of 4489. Help him in finding the mean of 4489.

Factors of 4489 are 1, 67, 4489.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 4489 is 1 + 67 + 4489 = 4557.
Hence, the mean of factors of 4489 is 4557 ÷ 3 = 1519.00.