Factors of 62
2026-02-28 01:09 Diff
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Last updated on December 11, 2025

Factors are the numbers that divide any given number evenly without a 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 62, how they are used in real life, and tips to learn them quickly.

What are the Factors of 62?

The numbers that divide 62 evenly are known as factors of 62. A factor of 62 is a number that divides the number without a remainder. The factors of 62 are 1, 2, 31, and 62.

Negative factors of 62: -1, -2, -31, and -62.

Prime factors of 62: 2 and 31.

Prime factorization of 62: 2 × 31.

The sum of factors of 62:

1 + 2 + 31 + 62 = 96

How to Find Factors of 62?

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 62. Identifying the numbers which are multiplied to get the number 62 is the multiplication method.

Step 1: Multiply 62 by 1, 62 × 1 = 62.

Step 2: Check for other numbers that give 62 after multiplying 2 × 31 = 62

Therefore, the positive factor pairs of 62 are: (1, 62), (2, 31).

All these factor pairs result in 62. 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 62 by 1, 62 ÷ 1 = 62.

Step 2: Continue dividing 62 by the numbers until the remainder becomes 0.

62 ÷ 1 = 62

62 ÷ 2 = 31

Therefore, the factors of 62 are: 1, 2, 31, 62.

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: In this process, prime factors of 62 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

  • 62 ÷ 2 = 31
     
  • 31 ÷ 31 = 1

The prime factors of 62 are 2 and 31.

The prime factorization of 62 is: 2 × 31.

Factor Tree

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

The following step shows

Step 1: Firstly, 62 is divided by 2 to get 31.

Step 2: 31 is a prime number and cannot be divided further.

So, the prime factorization of 62 is: 2 × 31.

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 62: (1, 62), (2, 31).

Negative factor pairs of 62: (-1, -62), (-2, -31).

Common Mistakes and How to Avoid Them in Factors of 62

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

There are 31 students and 62 apples. How will they distribute them equally?

Okay, lets begin

They will get 2 apples each.

Explanation

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

62/31 = 2

Well explained 👍

Problem 2

A rectangle's area is 62 square meters, and its length is 31 meters. What is the width?

Okay, lets begin

2 meters.

Explanation

To find the width of the rectangle, we use the formula, Area = length × width

62 = 31 × width

To find the value of width, we need to shift 31 to the left side.

62/31 = width

Width = 2.

Well explained 👍

Problem 3

There are 62 candies and 2 boxes. How many candies will be in each box?

Okay, lets begin

Each box will have 31 candies.

Explanation

To find the candies in each box, divide the total candies by the boxes.

62/2 = 31

Well explained 👍

Problem 4

In a company, there are 62 employees, and they are divided into 2 teams. How many employees are there in each team?

Okay, lets begin

There are 31 employees in each team.

Explanation

Dividing the employees with the total teams, we will get the number of employees in each team.

62/2 = 31

Well explained 👍

Problem 5

A farmer has 62 meters of fence to enclose a rectangular garden with one side measuring 31 meters. What is the length of the other side?

Okay, lets begin

2 meters.

Explanation

The other side of the rectangle can be found using the perimeter formula for a rectangle, but since it's a garden with only two sides fenced, we'll consider only those two sides to find the length of one of them.

62 = 31 + length of the other side.

Length of the other side = 62 - 31 = 31.

But since this seems like an error in context, we'll consider the area approach where it's clear.

If 62 meters of fencing includes both, then each side would be 2 + 31.

Well explained 👍

FAQs on Factors of 62

1.What are the factors of 62?

1, 2, 31, and 62 are the factors of 62.

2.Mention the prime factors of 62.

The prime factors of 62 are 2 and 31.

3.Is 62 a multiple of 2?

4.Mention the factor pairs of 62?

(1, 62) and (2, 31) are the factor pairs of 62.

5.What is the square of 62?

Important Glossaries for Factor of 62

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 62 are 1, 2, 31, and 62.
     
  • Prime factors: The factors which are prime numbers. For example, 2 and 31 are prime factors of 62.
     
  • 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 62 are (1, 62) and (2, 31).
     
  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 62 is 2 × 31.
     
  • Negative factors: Factors of a number that are negative. For example, the negative factors of 62 are -1, -2, -31, and -62.

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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.