101 LearnersLast updated on May 26th, 2025
Factors of 68921
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 68921, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 68921?
The numbers that divide 68921 evenly are known as factors of 68921.
A factor of 68921 is a number that divides the number without remainder.
The factors of 68921 are 1, 23, 299, 4761, and 68921.
Negative factors of 68921: -1, -23, -299, -4761, and -68921.
Prime factors of 68921: 23.
Prime factorization of 68921: 234.
The sum of factors of 68921: 1 + 23 + 299 + 4761 + 68921 = 73905
How to Find Factors of 68921?
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 68921. Identifying the numbers which are multiplied to get the number 68921 is the multiplication method.
Step 1: Multiply 68921 by 1, 68921 × 1 = 68921.
Step 2: Check for other numbers that give 68921 after multiplying 23 × 299 = 68921
Therefore, the positive factor pairs of 68921 are: (1, 68921), (23, 299). All these factor pair result in 68921. 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 simple division method -
Step 1: Divide 68921 by 1, 68921 ÷ 1 = 68921.
Step 2: Continue dividing 68921 by the numbers until the remainder becomes 0.
68921 ÷ 1 = 68921
68921 ÷ 23 = 299
Therefore, the factors of 68921 are: 1, 23, 299, 4761, 68921.
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 68921 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
68921 ÷ 23 = 2996
2996 ÷ 23 = 130
130 ÷ 23 = 5
5 ÷ 5 = 1
The prime factor of 68921 is 23.
The prime factorization of 68921 is: 23^4.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 68921 is divided by 23 to get 2996.
Step 2: Now divide 2996 by 23 to get 130.
Step 3: Then divide 130 by 23 to get 5. Here, 5 is the smallest prime number, which cannot be divided anymore. So, the prime factorization of 68921 is: 234.
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 68921: (1, 68921), (23, 299).
Negative factor pairs of 68921: (-1, -68921), (-23, -299).
Common Mistakes and How to Avoid Them in Factors of 68921
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 68921, 1 and 68921 are also factors.
Factors of 68921 Examples
Problem 1
There are 23 students and 68921 pages of a book. How will they divide it equally among all students?
They will get 299 pages each.
Explanation
To divide the pages equally, we need to divide the total pages by the number of students.
68921/23 = 299
Problem 2
A square has a side length of 23 meters. What is the area of the square in square meters?
529 square meters.
Explanation
To find the area of the square, we use the formula,
Area = side × side
23 × 23 = 529
Problem 3
There are 4761 candies and 299 gift bags. How many candies will be in each bag?
Each bag will have 16 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
4761/299 = 16
Problem 4
A rectangular field has a width of 23 meters and a total area of 529 square meters. Find the length of the field.
23 meters.
Explanation
To find the length of the field, we use the formula,
Area = length × width
529 = 23 × length
To find the value of length, we need to shift 23 to the left side.
529/23 = length
Length = 23
Problem 5
A box contains 68921 marbles, and there are 23 containers. How many marbles will go in each container?
Each container will have 299 marbles.
Explanation
Divide total marbles by containers.
68921/23 = 299
FAQs on Factors of 68921
1.What are the factors of 68921?
2.Mention the prime factors of 68921.
3.Is 68921 a multiple of 23?
4.Mention the factor pairs of 68921?
5.What is the square of 68921?
6.How can children in Singapore use numbers in everyday life to understand Factors of 68921?
7.What are some fun ways kids in Singapore can practice Factors of 68921 with numbers?
8.What role do numbers and Factors of 68921 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 68921 skills?
Important Glossaries for Factors of 68921
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 68921 are 1, 23, 299, 4761, and 68921.
- Prime factors: The factors which are prime numbers. For example, 23 is a prime factor of 68921.
- 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 68921 are (1, 68921) and (23, 299).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 68921 is 234.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 68921 is a multiple of 1, 23, and 68921.
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About BrightChamps in Singapore
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.
