100 LearnersLast updated on May 26th, 2025
Factors of 949
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 and arranging things. In this topic, we will learn about the factors of 949, how they are used in real life, and tips to learn them quickly.
What are the Factors of 949?
The numbers that divide 949 evenly are known as factors of 949.
A factor of 949 is a number that divides the number without a remainder.
The factors of 949 are 1, 13, 73, and 949.
Negative factors of 949: -1, -13, -73, and -949.
Prime factors of 949: 13 and 73.
Prime factorization of 949: 13 × 73.
The sum of factors of 949: 1 + 13 + 73 + 949 = 1036
How to Find Factors of 949?
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 949. Identifying the numbers which are multiplied to get the number 949 is the multiplication method.
Step 1: Multiply 949 by 1, 949 × 1 = 949.
Step 2: Check for other numbers that give 949 after multiplying
13 × 73 = 949
Therefore, the positive factor pairs of 949 are: (1, 949) and (13, 73).
All these factor pairs result in 949.
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 the simple division method -
Step 1: Divide 949 by 1, 949 ÷ 1 = 949.
Step 2: Continue dividing 949 by the numbers until the remainder becomes 0.
949 ÷ 1 = 949
949 ÷ 13 = 73
949 ÷ 73 = 13
Therefore, the factors of 949 are: 1, 13, 73, 949.
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 949 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
949 ÷ 13 = 73
73 ÷ 73 = 1
The prime factors of 949 are 13 and 73.
The prime factorization of 949 is: 13 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 949 is divided by 13 to get 73.
Step 2: 73 is a prime number and cannot be divided further.
So, the prime factorization of 949 is: 13 × 73.
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 949: (1, 949) and (13, 73).
Negative factor pairs of 949: (-1, -949) and (-13, -73).
Common Mistakes and How to Avoid Them in Factors of 949
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 949, 1 and 949 are also factors.
Factors of 949 Examples
Problem 1
There are 13 friends and 949 marbles. How will they divide them equally?
They will get 73 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
949/13 = 73
Problem 2
A rectangular garden has a length of 13 meters and a total area of 949 square meters. Find the width?
73 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
949 = 13 × width
To find the value of width, we need to shift 13 to the left side.
949/13 = width
Width = 73.
Problem 3
There are 73 boxes and 949 candies. How many candies will be in each box?
Each box will have 13 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
949/73 = 13
Problem 4
In a concert, there are 949 attendees, and 13 sections. How many attendees are there in each section?
There are 73 attendees in each section.
Explanation
Dividing the attendees by the total sections, we will get the number of attendees in each section.
949/13 = 73
Problem 5
949 apples need to be packed in 73 crates. How many apples will go in each crate?
Each crate will have 13 apples.
Explanation
Divide the total apples by the crates.
949/73 = 13
FAQs on Factors of 949
1.What are the factors of 949?
2.Mention the prime factors of 949.
3.Is 949 a multiple of 13?
4.Mention the factor pairs of 949?
5.What is the square of 949?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 949?
7.What are some fun ways kids in Vietnam can practice Factors of 949 with numbers?
8.What role do numbers and Factors of 949 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 949 skills?
Important Glossaries for Factor of 949
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 949 are 1, 13, 73, and 949.
- Prime Factors: The factors which are prime numbers. For example, 13 and 73 are prime factors of 949.
- 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 949 are (1, 949) and (13, 73).
- Prime Factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 949 is 13 × 73.
- Negative Factors: Factors that are negative numbers but still divide the original number without leaving a remainder. For example, the negative factors of 949 are -1, -13, -73, and -949.
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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.
