102 LearnersLast updated on May 26th, 2025
Factors of 1062
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 1062, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1062?
The numbers that divide 1062 evenly are known as factors of 1062.
A factor of 1062 is a number that divides the number without remainder.
The factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, and 1062.
Negative factors of 1062: -1, -2, -3, -6, -9, -18, -59, -118, -177, -354, -531, and -1062.
Prime factors of 1062: 2, 3, and 59.
Prime factorization of 1062: 2 × 3 × 3 × 59.
The sum of factors of 1062: 1 + 2 + 3 + 6 + 9 + 18 + 59 + 118 + 177 + 354 + 531 + 1062 = 2340
How to Find Factors of 1062?
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 1062. Identifying the numbers which are multiplied to get the number 1062 is the multiplication method.
Step 1: Multiply 1062 by 1, 1062 × 1 = 1062.
Step 2: Check for other numbers that give 1062 after multiplying
2 × 531 = 1062
3 × 354 = 1062
6 × 177 = 1062
9 × 118 = 1062
18 × 59 = 1062
Therefore, the positive factor pairs of 1062 are: (1, 1062), (2, 531), (3, 354), (6, 177), (9, 118), (18, 59).
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 1062 by 1, 1062 ÷ 1 = 1062.
Step 2: Continue dividing 1062 by the numbers until the remainder becomes 0.
1062 ÷ 1 = 1062
1062 ÷ 2 = 531
1062 ÷ 3 = 354
1062 ÷ 6 = 177
1062 ÷ 9 = 118
1062 ÷ 18 = 59
Therefore, the factors of 1062 are: 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062.
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 1062 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1062 ÷ 2 = 531
531 ÷ 3 = 177
177 ÷ 3 = 59
59 ÷ 59 = 1
The prime factors of 1062 are 2, 3, and 59.
The prime factorization of 1062 is: 2 × 3 × 3 × 59.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1062 is divided by 2 to get 531.
Step 2: Now divide 531 by 3 to get 177.
Step 3: Then divide 177 by 3 to get 59.
Here, 59 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1062 is: 2 × 3 × 3 × 59.
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 1062: (1, 1062), (2, 531), (3, 354), (6, 177), (9, 118), and (18, 59).
Negative factor pairs of 1062: (-1, -1062), (-2, -531), (-3, -354), (-6, -177), (-9, -118), and (-18, -59).
Common Mistakes and How to Avoid Them in Factors of 1062
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 the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1062, 1 and 1062 are also factors.
Factors of 1062 Examples
Problem 1
There are 59 students and 1062 candies. How will they divide it equally?
They will get 18 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
1062/59 = 18
Problem 2
A rectangular garden has a width of 3 meters and a total area of 1062 square meters. Find the length.
354 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1062 = 3 × length
To find the value of length, we need to shift 3 to the left side.
1062/3 = length
Length = 354.
Problem 3
There are 6 trucks and 1062 boxes. How many boxes will be in each truck?
Each truck will have 177 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the number of trucks.
1062/6 = 177
Problem 4
In a library, there are 1062 books, and 9 bookshelves. How many books are there on each shelf?
There are 118 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
1062/9 = 118
Problem 5
1062 apples need to be packed into 18 crates. How many apples will go in each crate?
Each of the crates has 59 apples.
Explanation
Divide total apples by the number of crates.
1062/18 = 59
FAQs on Factors of 1062
1.What are the factors of 1062?
2.Mention the prime factors of 1062.
3.Is 1062 a multiple of 3?
4.Mention the factor pairs of 1062.
5.What is the square of 1062?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1062?
7.What are some fun ways kids in Vietnam can practice Factors of 1062 with numbers?
8.What role do numbers and Factors of 1062 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1062 skills?
Important Glossaries for Factor of 1062
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, and 1062.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 59 are prime factors of 1062.
- 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 1062 are (1, 1062), (2, 531), etc.
- Prime factorization: This is the process of expressing a number as the product of its prime factors. For example, the prime factorization of 1062 is 2 × 3 × 3 × 59.
- Negative factors: These are the negative counterparts of the factors of a number. For example, the negative factors of 1062 are -1, -2, -3, -6, -9, -18, -59, -118, -177, -354, -531, and -1062.
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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
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