Factors of 484

2. Steps to find factors of 484 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 484 using the division method, follow these steps:

• Step 1. Start dividing 484 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 484, which is 2. Divide 484 by 2 to obtain the quotient (242).
  484 ÷ 2 = 242
• Step 3. Repeat step 1 with the obtained quotient (242).
  242 ÷ 2 = 121
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 484 is, 484 = 2 x 2 x 11 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 484 as shown below:

So, the prime factorization of 484 is, 484 = 2 x 2 x 11 x 11.

3. Find factors of 484 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 484 would be the two numbers which, when multiplied, give 484 as the result.

The following table represents the calculation of factors of 484 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 484. They are called negative pair factors.

Hence, the negative pairs of 484 would be ( -1 , -484 ) , ( -2 , -242 ) , ( -4 , -121 ) , ( -11 , -44 ) and ( -22 , -22 ) .

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

• Each number is a factor of itself. Eg. 484 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 484.
• Every number is a factor of zero (0), since 484 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 4, 11, 22, 44, 121, 242, 484 are exact divisors of 484.
• Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. Each factor divides 484 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 11, 22, 44, 121, 242, 484 are all less than or equal to 484.

Frequently Asked Questions

• Which is the smallest prime factor of 484?

  The smallest prime factor of 484 is 2.

• Is 484 a whole number?

  Yes 484 is a whole number.

• What are the prime factors of 484?

  The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484.
  Prime factors of 484 are 2, 2, 11, 11.

• What two numbers make 484?

  Two numbers that make 484 are 2 and 242.

• What are multiples of 484?

  First five multiples of 484 are 968, 1452, 1936, 2420.

• What is the sum of all factors of 484?

  The sum of all factors of 484 is 931.

• What are five multiples of 484?

  First five multiples of 484 are 968, 1452, 1936, 2420, 2904.

• Is 484 a perfect square?

  Yes 484 is a perfect square.

• What is the greatest prime factors of 484?

  The greatest prime factor of 484 is 11.

Examples of Factors