# Factors of 489

Factors of 489 are 1, 3, 163, and 489

#### How to find factors of a number

 1.   Find factors of 489 using Division Method 2.   Find factors of 489 using Prime Factorization 3.   Find factors of 489 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 489

• Divide 489 by 1: 489 ÷ 1 : Remainder = 0
• Divide 489 by 3: 489 ÷ 3 : Remainder = 0
• Divide 489 by 163: 489 ÷ 163 : Remainder = 0
• Divide 489 by 489: 489 ÷ 489 : Remainder = 0

Hence, Factors of 489 are 1, 3, 163, and 489

#### 2. Steps to find factors of 489 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 489 using the division method, follow these steps:

• Step 1. Start dividing 489 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 489, which is 3. Divide 489 by 3 to obtain the quotient (163).
489 ÷ 3 = 163
• Step 3. Repeat step 1 with the obtained quotient (163).
163 ÷ 163 = 1

So, the prime factorization of 489 is, 489 = 3 x 163.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 489 as shown below:

So, the prime factorization of 489 is, 489 = 3 x 163.

#### 3. Find factors of 489 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 489 would be the two numbers which, when multiplied, give 489 as the result.

The following table represents the calculation of factors of 489 in pairs:

Factor Pair Pair Factorization
1 and 489 1 x 489 = 489
3 and 163 3 x 163 = 489

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 489. They are called negative pair factors.

Hence, the negative pairs of 489 would be ( -1 , -489 ) , ( -3 , -163 ) .

#### 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, 3, 163, 489 are exact divisors of 489.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 489 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 489.

• What are the prime factors of 489?

The factors of 489 are 1, 3, 163, 489.
Prime factors of 489 are 3, 163.

• What two numbers make 489?

Two numbers that make 489 are 3 and 163.

• What is the greatest prime factors of 489?

The greatest prime factor of 489 is 163.

• What are factors of 489?

Factors of 489 are 1, 3, 163, 489.

• How do you find factors of a negative number? ( eg. -489 )?

Factors of -489 are -1, -3, -163, -489.

• What are five multiples of 489?

First five multiples of 489 are 978, 1467, 1956, 2445, 2934.

• Write some multiples of 489?

First five multiples of 489 are 978, 1467, 1956, 2445.

• Is 489 a perfect square?

No 489 is not a perfect square.

• What two numbers make 489?

Two numbers that make 489 are 3 and 163.

#### Examples of Factors

What is prime factorization of 489?

Prime factorization of 489 is 3 x 163 = 3 x 163.

Sammy is puzzled while calculating the prime factors of 489. Can you help him find them?

Factors of 489 are 1, 3, 163, 489.
Prime factors of 489 are 3, 163

Kevin has been asked to write 3 factor(s) of 489. Can you predict the answer?

3 factor(s) of 489 are 1, 3, 163.

Joey wants to write all the prime factors of 489 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 489 are 3, 163.
So in exponential form it can be written as 3 x 163.

How many factors are there for 489?

Factors of 489 are 1, 3, 163, 489.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 489? Help her in writing all the factors.

Positive factors are 1, 3, 163, 489.
Negative factors are -1, -3, -163, -489.

Can you help Rubel to find out the product of the even factors of 489?

Factors of 489 are 1, 3, 163, 489.
Even factors of 489 are 0.
Hence, product of even factors of 489 is; 0 = 0.