Factors of 494
2026-02-28 08:28 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-494

254 Learners

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 494, how they are used in real life, and the tips to learn them quickly.

What are the Factors of 494?

The numbers that divide 494 evenly are known as factors of 494. A factor of 494 is a number that divides the number without remainder. The factors of 494 are 1, 2, 13, 19, 26, 38, 247, and 494. Negative factors of 494: -1, -2, -13, -19, -26, -38, -247, and -494. Prime factors of 494: 2, 13, and 19. Prime factorization of 494: 2 × 13 × 19. The sum of factors of 494: 1 + 2 + 13 + 19 + 26 + 38 + 247 + 494 = 840

How to Find Factors of 494?

Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using 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 494. Identifying the numbers which are multiplied to get the number 494 is the multiplication method. Step 1: Multiply 494 by 1, 494 × 1 = 494. Step 2: Check for other numbers that give 494 after multiplying 2 × 247 = 494 13 × 38 = 494 19 × 26 = 494 Therefore, the positive factor pairs of 494 are: (1, 494), (2, 247), (13, 38), (19, 26). All these factor pairs result in 494. For every positive factor, there is a negative factor.

Explore Our Programs

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 in whole numbers as factors. Factors can be calculated by following the simple division method - Step 1: Divide 494 by 1, 494 ÷ 1 = 494. Step 2: Continue dividing 494 by the numbers until the remainder becomes 0. 494 ÷ 1 = 494 494 ÷ 2 = 247 494 ÷ 13 = 38 494 ÷ 19 = 26 Therefore, the factors of 494 are: 1, 2, 13, 19, 26, 38, 247, and 494.

Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods: Using prime factorization Using factor tree Using Prime Factorization: In this process, prime factors of 494 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 494 ÷ 2 = 247 247 ÷ 13 = 19 19 ÷ 19 = 1 The prime factors of 494 are 2, 13, and 19. The prime factorization of 494 is: 2 × 13 × 19.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 494 is divided by 2 to get 247. Step 2: Now divide 247 by 13 to get 19. Step 3: 19 is a prime number and cannot be divided further. So, the prime factorization of 494 is: 2 × 13 × 19. 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 494: (1, 494), (2, 247), (13, 38), and (19, 26). Negative factor pairs of 494: (-1, -494), (-2, -247), (-13, -38), and (-19, -26).

Common Mistakes and How to Avoid Them in Factors of 494

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

Download Worksheets

Problem 1

There are 19 boxes and 494 marbles. How will they divide them equally?

Okay, lets begin

They will get 26 marbles each.

Explanation

To divide the marbles equally, we need to divide the total marbles by the number of boxes. 494/19 = 26

Well explained 👍

Problem 2

A rectangular garden has a length of 13 meters and a total area of 494 square meters. Find the width?

Okay, lets begin

38 meters.

Explanation

To find the width of the garden, we use the formula: Area = length × width 494 = 13 × width To find the width, we need to shift 13 to the left side. 494/13 = width Width = 38.

Well explained 👍

Problem 3

There are 2 trucks and 494 crates. How many crates will be in each truck?

Okay, lets begin

Each truck will have 247 crates.

Explanation

To find the crates in each truck, divide the total crates by the trucks. 494/2 = 247

Well explained 👍

Problem 4

In a warehouse, there are 494 boxes, and they need to be arranged in 38 stacks. How many boxes are there in each stack?

Okay, lets begin

There are 13 boxes in each stack.

Explanation

Dividing the boxes by the total stacks, we will get the number of boxes in each stack. 494/38 = 13

Well explained 👍

Problem 5

494 books need to be arranged in 26 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 19 books.

Explanation

Divide total books by shelves. 494/26 = 19

Well explained 👍

FAQs on Factors of 494

1.What are the factors of 494?

1, 2, 13, 19, 26, 38, 247, and 494 are the factors of 494.

2.Mention the prime factors of 494.

The prime factors of 494 are 2 × 13 × 19.

3.Is 494 a multiple of 19?

4.Mention the factor pairs of 494?

(1, 494), (2, 247), (13, 38), and (19, 26) are the factor pairs of 494.

5.What is the square of 494?

Important Glossaries for Factors of 494

Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 494 are 1, 2, 13, 19, 26, 38, 247, and 494. Prime factors: The factors which are prime numbers. For example, 2, 13, and 19 are prime factors of 494. 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 494 are (1, 494), (2, 247), etc. Prime factorization: Breaking down a number into its basic prime numbers that multiply to the original number. For 494, it is 2 × 13 × 19. Multiple: A number that can be divided by another number without leaving a remainder. For example, 494 is a multiple of 19.

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.