100 LearnersLast updated on May 26th, 2025
Factors of 946
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 946, how they are used in real life, and tips to learn them quickly.
What are the Factors of 946?
The numbers that divide 946 evenly are known as factors of 946.
A factor of 946 is a number that divides the number without remainder.
The factors of 946 are 1, 2, 473, and 946.
Negative factors of 946: -1, -2, -473, and -946.
Prime factors of 946: 2 and 473.
Prime factorization of 946: 2 × 473.
The sum of factors of 946: 1 + 2 + 473 + 946 = 1422
How to Find Factors of 946?
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 946. Identifying the numbers which are multiplied to get the number 946 is the multiplication method.
Step 1: Multiply 946 by 1, 946 × 1 = 946.
Step 2: Check for other numbers that give 946 after multiplying:
2 × 473 = 946
Therefore, the positive factor pairs of 946 are: (1, 946) and (2, 473).
All these factor pairs result in 946.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 946 by 1, 946 ÷ 1 = 946.
Step 2: Continue dividing 946 by the numbers until the remainder becomes 0.
946 ÷ 1 = 946
946 ÷ 2 = 473
Therefore, the factors of 946 are: 1, 2, 473, 946.
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
- Using factor tree
Using Prime Factorization: In this process, prime factors of 946 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
946 ÷ 2 = 473
473 ÷ 473 = 1
The prime factors of 946 are 2 and 473.
The prime factorization of 946 is: 2 × 473.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 946 is divided by 2 to get 473.
In this case, 473 is a prime number that cannot be divided further.
So, the prime factorization of 946 is: 2 × 473.
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 946: (1, 946) and (2, 473).
Negative factor pairs of 946: (-1, -946) and (-2, -473).
Common Mistakes and How to Avoid Them in Factors of 946
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 word. Always remember to include 1 and the number itself.
For example, in factors of 946, 1 and 946 are also factors.
Factors of 946 Examples
Problem 1
There are 2 teams and 946 apples. How will they divide them equally?
They will get 473 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
946/2 = 473
Problem 2
A banner is rectangular, the width of the banner is 2 meters and the total area is 946 square meters. Find the length?
473 meters.
Explanation
To find the length of the banner, we use the formula,
Area = length × width
946 = length × 2
To find the value of length, we need to shift 2 to the left side.
946/2 = length
Length = 473.
Problem 3
There are 946 candies, and 473 children at a party. How many candies will each child receive?
Each child will receive 2 candies.
Explanation
To find the candies each child receives, divide the total candies by the number of children.
946/473 = 2
Problem 4
In a seminar, there are 946 participants, and each table seats 2 people. How many tables are required?
473 tables are required.
Explanation
Dividing the participants by the seating per table, we will get the number of tables needed.
946/2 = 473
Problem 5
946 bottles need to be packed into 2 boxes equally. How many bottles will go in each box?
Each box will have 473 bottles.
Explanation
Divide total bottles by the number of boxes.
946/2 = 473
FAQs on Factors of 946
1.What are the factors of 946?
2.Mention the prime factors of 946.
3.Is 946 a multiple of 2?
4.Mention the factor pairs of 946?
5.What is the square of 946?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 946?
7.What are some fun ways kids in Vietnam can practice Factors of 946 with numbers?
8.What role do numbers and Factors of 946 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 946 skills?
Important Glossaries for Factor of 946
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 946 are 1, 2, 473, and 946.
- Prime factors: The factors which are prime numbers. For example, 2 and 473 are prime factors of 946.
- 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 946 are (1, 946) and (2, 473).
- Negative factors: The factors that are negative values of the positive factors. For example, -1, -2, -473, and -946 are negative factors of 946.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 946 is 2 × 473.
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About BrightChamps in Vietnam
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.
