122 LearnersLast updated on May 26th, 2025
Factors of 62
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.
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
- Using factor tree
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.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 62, 1 and 62 are also factors.
Mistake 2
Missing Negative Factors
We tend to mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 62 consist of -1, -2, -31, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 62/1.5 does not result in a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 62 are prime numbers.
For example, 2 and 31 are the prime factors of 62, but 62 has other factors like 1, 62.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 62 as 2 × 31 and missing all the key factors.
Factors of 62 Examples
Problem 1
There are 31 students and 62 apples. How will they distribute them equally?
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
Problem 2
A rectangle's area is 62 square meters, and its length is 31 meters. What is the width?
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.
Problem 3
There are 62 candies and 2 boxes. How many candies will be in each box?
Each box will have 31 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
62/2 = 31
Problem 4
In a company, there are 62 employees, and they are divided into 2 teams. How many employees are there in each team?
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
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?
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.
FAQs on Factors of 62
1.What are the factors of 62?
2.Mention the prime factors of 62.
3.Is 62 a multiple of 2?
4.Mention the factor pairs of 62?
5.What is the square of 62?
6.How can children in Thailand use numbers in everyday life to understand Factors of 62?
7.What are some fun ways kids in Thailand can practice Factors of 62 with numbers?
8.What role do numbers and Factors of 62 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 62 skills?
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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About BrightChamps in Thailand
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.
