Factors of 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:

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.

Frequently Asked Questions

• 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