113 LearnersLast updated on May 26th, 2025
Factors of 929
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 929, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 929?
The numbers that divide 929 evenly are known as factors of 929. A factor of 929 is a number that divides the number without remainder. The factors of 929 are 1, 7, 11, 13, 77, 91, 143, and 929.
Negative factors of 929: -1, -7, -11, -13, -77, -91, -143, and -929.
Prime factors of 929: 7, 11, and 13.
Prime factorization of 929: 7 × 11 × 13.
The sum of factors of 929: 1 + 7 + 11 + 13 + 77 + 91 + 143 + 929 = 1272
How to Find Factors of 929?
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 929. Identifying the numbers which are multiplied to get the number 929 is the multiplication method.
Step 1: Multiply 929 by 1, 929 × 1 = 929.
Step 2: Check for other numbers that give 929 after multiplying
7 × 133 = 929
11 × 84.4545 (not a whole number, not a factor)
13 × 71.4615 (not a whole number, not a factor)
Therefore, the positive factor pairs of 929 are: (1, 929) and (7, 133). All these factor pairs result in 929. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 929 by 1, 929 ÷ 1 = 929.
Step 2: Continue dividing 929 by the numbers until the remainder becomes 0.
929 ÷ 1 = 929
929 ÷ 7 = 133
929 ÷ 11 = 84.4545 (not a whole number, not a factor)
929 ÷ 13 = 71.4615 (not a whole number, not a factor)
Therefore, the factors of 929 are: 1, 7, 133, and 929.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 929 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
929 ÷ 7 = 133
133 ÷ 11 = 13
13 ÷ 13 = 1
The prime factors of 929 are 7, 11, and 13. The prime factorization of 929 is: 7 × 11 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 929 is divided by 7 to get 133.
Step 2: Now divide 133 by 11 to get 13.
Step 3: Divide 13 by 13 to get 1. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 929 is: 7 × 11 × 13.
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 929: (1, 929) and (7, 133).
- Negative factor pairs of 929: (-1, -929) and (-7, -133).
Common Mistakes and How to Avoid Them in Factors of 929
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 929, 1 and 929 are also factors.
Factors of 929 Examples
Problem 1
There are 7 groups and 929 pieces of candy. How will they divide it equally?
They will get 133 pieces of candy each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of groups.
929 ÷ 7 = 133
Problem 2
A rectangular field has a length of 11 meters and a total area of 929 square meters. Find the width?
84.4545 meters (not a whole number, area calculation might need re-evaluation).
Explanation
To find the width of the field, we use the formula,
Area = length × width
929 = 11 × width
To find the value of width, we need to shift 11 to the left side.
929 ÷ 11 = width
Width = 84.4545
Problem 3
There are 13 crates and 929 apples. How many apples will be in each crate?
Each crate will have 71.4615 apples (not a whole number, crate packing might need reevaluation).
Explanation
To find the apples in each crate, divide the total apples by the crates.
929 ÷ 13 = 71.4615
Problem 4
In a class, there are 929 students and 11 groups. How many students are there in each group?
84 students in each group (rounded, exact division needs reevaluation).
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
929 ÷ 11 = 84.4545
Problem 5
929 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 133 books.
Explanation
Divide total books by shelves.
929 ÷ 7 = 133
FAQs on Factors of 929
1.What are the factors of 929?
2.Mention the prime factors of 929.
3.Is 929 a multiple of 11?
4.Mention the factor pairs of 929?
5.What is the square of 929?
Important Glossaries for Factor of 929
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 929 are 1, 7, 11, 13, 77, 91, 143, and 929.
- Prime factors: The factors which are prime numbers. For example, 7, 11, and 13 are prime factors of 929.
- 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 929 are (1, 929) and (7, 133).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 929 = 7 × 11 × 13.
- Negative factors: Factors of a number that are negative. For example, -1, -7, -11, -13, -77, -91, -143, -929 are negative factors of 929.
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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.
