Factors of 1498
2026-02-28 17:58 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 1498, how they are used in real life, and the tips to learn them quickly.

What are the Factors of 1498?

The numbers that divide 1498 evenly are known as factors of 1498.

A factor of 1498 is a number that divides the number without remainder.

The factors of 1498 are 1, 2, 749, and 1498.

Negative factors of 1498: -1, -2, -749, and -1498.

Prime factors of 1498: 2 and 749.

Prime factorization of 1498: 2 × 749.

The sum of factors of 1498: 1 + 2 + 749 + 1498 = 2250.

How to Find Factors of 1498?

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

  • Finding factors using multiplication
     
  • Finding factors using the division method
     
  • Prime factors and Prime factorization

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1498. Identifying the numbers which are multiplied to get the number 1498 is the multiplication method.

Step 1: Multiply 1498 by 1, 1498 × 1 = 1498.

Step 2: Check for other numbers that give 1498 after multiplying:

2 × 749 = 1498

Therefore, the positive factor pairs of 1498 are: (1, 1498), (2, 749).

All these factor pairs result in 1498.

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 1498 by 1, 1498 ÷ 1 = 1498.

Step 2: Continue dividing 1498 by the numbers until the remainder becomes 0.

1498 ÷ 1 = 1498

1498 ÷ 2 = 749

Therefore, the factors of 1498 are: 1, 2, 749, 1498.

Prime Factors and Prime Factorization

The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:

Using Prime Factorization: In this process, prime factors of 1498 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1498 ÷ 2 = 749

749 is a prime number and cannot be divided further.

The prime factors of 1498 are 2 and 749.

The prime factorization of 1498 is: 2 × 749.

Factor Tree

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

Step 1: Firstly, 1498 is divided by 2 to get 749.

Step 2: 749 is prime and cannot be divided further. So, the prime factorization of 1498 is: 2 × 749.

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 1498: (1, 1498), (2, 749).

Negative factor pairs of 1498: (-1, -1498), (-2, -749).

Common Mistakes and How to Avoid Them in Factors of 1498

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 gardener has 1498 plants and 2 sections in the garden. How many plants will be in each section?

Okay, lets begin

Each section will have 749 plants.

Explanation

To divide the plants equally, we need to divide the total plants by the number of sections.

1498/2 = 749

Well explained 👍

Problem 2

A hall can hold 1498 chairs in 2 rows. How many chairs are in each row?

Okay, lets begin

Each row has 749 chairs.

Explanation

To find the number of chairs in each row, divide the total number of chairs by the number of rows.

1498/2 = 749

Well explained 👍

Problem 3

There are 1498 candies and 1 jar. How many candies will be in the jar?

Okay, lets begin

The jar will have 1498 candies.

Explanation

Since there is only one jar, all candies go into it.

1498/1 = 1498

Well explained 👍

Problem 4

A store has 2 large boxes containing a total of 1498 items. How many items are in each box?

Okay, lets begin

Each box contains 749 items.

Explanation

Divide the total items by the number of boxes to find how many items per box.

1498/2 = 749

Well explained 👍

Problem 5

There are 1498 seats in a theater and 1 show. How many seats are available per show?

Okay, lets begin

All 1498 seats are available per show.

Explanation

Since there is only one show, all seats are available for it.

1498/1 = 1498

Well explained 👍

FAQs on Factors of 1498

1.What are the factors of 1498?

1, 2, 749, and 1498 are the factors of 1498.

2.Mention the prime factors of 1498.

The prime factors of 1498 are 2 and 749.

3.Is 1498 a multiple of 2?

4.Mention the factor pairs of 1498?

(1, 1498), (2, 749) are the factor pairs of 1498.

5.What is the square of 1498?

The square of 1498 is 2,244,004.

Important Glossaries for Factors of 1498

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1498 are 1, 2, 749, and 1498.
  • Prime factors: The factors which are prime numbers. For example, 2 and 749 are prime factors of 1498.
  • 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 1498 are (1, 1498), (2, 749).
  • Prime factorization: The expression of a number as the product of its prime factors. For 1498, it is 2 × 749.
  • Negative factors: Negative numbers that can divide the original number without a remainder. For 1498, they include -1, -2, -749, -1498.

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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.