Factors of 998
2026-02-21 20:25 Diff
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Last updated on December 12, 2025

Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 998, how they are used in real life, and tips to learn them quickly.

What are the Factors of 998?

The numbers that divide 998 evenly are known as factors of 998.

A factor of 998 is a number that divides the number without remainder.

The factors of 998 are 1, 2, 499, and 998.

Negative factors of 998: -1, -2, -499, and -998.

Prime factors of 998: 2 and 499.

Prime factorization of 998: 2 × 499.

The sum of factors of 998: 1 + 2 + 499 + 998 = 1500

How to Find Factors of 998?

Factors can be found using different methods. Mentioned below are some commonly used methods:

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 998. Identifying the numbers which are multiplied to get the number 998 is the multiplication method.

Step 1: Multiply 998 by 1, 998 × 1 = 998.

Step 2: Check for other numbers that give 998 after multiplying 2 × 499 = 998

Therefore, the positive factor pairs of 998 are: (1, 998) and (2, 499).

All these factor pairs result in 998.

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method

Step 1: Divide 998 by 1, 998 ÷ 1 = 998.

Step 2: Continue dividing 998 by the numbers until the remainder becomes 0.

998 ÷ 1 = 998

998 ÷ 2 = 499

Therefore, the factors of 998 are: 1, 2, 499, and 998.

Prime Factors and Prime Factorization

The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:

Using Prime Factorization: In this process, prime factors of 998 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

998 ÷ 2 = 499

499 ÷ 499 = 1

The prime factors of 998 are 2 and 499.

The prime factorization of 998 is: 2 × 499.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

Step 1: Firstly, 998 is divided by 2 to get 499. Here, 499 is a prime number, so it cannot be divided further. So, the prime factorization of 998 is: 2 × 499.

Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.

Both positive and negative factors constitute factor pairs.

Positive factor pairs of 998: (1, 998) and (2, 499).

Negative factor pairs of 998: (-1, -998) and (-2, -499).

Common Mistakes and How to Avoid Them in Factors of 998

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

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Problem 1

A group of 499 people needs to share 998 apples equally. How many apples will each person get?

Okay, lets begin

Each person will get 2 apples.

Explanation

To divide the apples equally, we need to divide the total apples by the number of people.

998/499 = 2

Well explained 👍

Problem 2

A shop has 998 items that need to be packed in boxes, each containing 2 items. How many boxes are required?

Okay, lets begin

499 boxes.

Explanation

To find the number of boxes required, divide the total items by the number of items per box.

998/2 = 499

Well explained 👍

Problem 3

A team of 2 people needs to paint 998 walls. How many walls will each person paint?

Okay, lets begin

Each person will paint 499 walls.

Explanation

To find the number of walls each person will paint, divide the total walls by the number of people.

998/2 = 499

Well explained 👍

Problem 4

There are 998 candies and 2 jars. If each jar gets an equal number of candies, how many candies will go in each jar?

Okay, lets begin

Each jar will have 499 candies.

Explanation

Dividing the candies by the total jars, we will get the number of candies in each jar.

998/2 = 499

Well explained 👍

Problem 5

A library has 998 books and 1 shelf. How many books will go on the shelf?

Okay, lets begin

All 998 books will go on the single shelf.

Explanation

All books go on the shelf since there is only one shelf.

998/1 = 998

Well explained 👍

FAQs on Factors of 998

1.What are the factors of 998?

1, 2, 499, and 998 are the factors of 998.

2.Mention the prime factors of 998.

The prime factors of 998 are 2 × 499.

3.Is 998 a multiple of 2?

4.Mention the factor pairs of 998?

(1, 998) and (2, 499) are the factor pairs of 998.

5.What is the square of 998?

Important Glossaries for Factor of 998

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 998 are 1, 2, 499, and 998.
  • Prime factors: The factors which are prime numbers. For example, 2 and 499 are prime factors of 998.
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 998 are (1, 998) and (2, 499).
     
  • Negative factors: The negative counterparts of the positive factors. For example, -1, -2, -499, and -998 are negative factors of 998.
     
  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 998 is 2 × 499.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.