122 LearnersLast updated on May 26th, 2025
Factors of 43
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 43, how they are used in real life, and tips to learn them quickly.
What are the Factors of 43?
The numbers that divide 43 evenly are known as factors of 43.
A factor of 43 is a number that divides the number without remainder.
The factors of 43 are 1 and 43.
Negative factors of 43: -1 and -43.
Prime factors of 43: 43.
Prime factorization of 43: 43 (since 43 is a prime number).
The sum of factors of 43: 1 + 43 = 44
How to Find Factors of 43?
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 43. Identifying the numbers that are multiplied to get the number 43 is the multiplication method.
Step 1: Multiply 43 by 1, 43 × 1 = 43.
Step 2: Check for other numbers that give 43 after multiplying.
Since 43 is a prime number, the only factor pairs are 1 and 43.
For every positive factor, there is a negative factor. Therefore, the positive factor pairs of 43 are: (1, 43).
Finding Factors Using Division Method
Divide the given numbers with the whole numbers until the remainder becomes zero, and list out the numbers which result in whole numbers as factors.
Factors can be calculated by following a simple division method
Step 1: Divide 43 by 1, 43 ÷ 1 = 43.
Step 2: Attempt dividing 43 by numbers other than 1 and 43.
Since 43 is prime, no other divisions result in a whole number.
Therefore, the factors of 43 are: 1 and 43.
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 43 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1. However, since 43 is a prime number, it is already its own prime factor.
The prime factorization of 43 is: 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 43 is a prime number, it cannot be broken down further using a factor tree. It stands alone as its own prime factor. So, the prime factorization of 43 is simply: 43.
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 43: (1, 43).
Negative factor pairs of 43: (-1, -43).
Common Mistakes and How to Avoid Them in Factors of 43
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 43, 1 and 43 are also factors.
Mistake 2
Missing Negative Factors
We tend to mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 43 consist of -1 and -43.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor, because 43/2.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 43 are prime numbers. While 43 is prime, it is important to understand that not every factor must be prime.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, attempting to break down 43 as a product of smaller primes incorrectly.
Factors of 43 Examples
Problem 1
There are 43 marbles and 1 jar. How will they divide them equally?
All 43 marbles will go into the 1 jar.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of jars. 43/1 = 43
Problem 2
A garden is circular, the radius of the garden is 1 meter, and the circumference is 43 meters. What is the diameter?
43 meters.
Explanation
The circumference of a circle is given by the formula,
Circumference = π × diameter
Assuming π as 1 (for simplicity in this context), we use: 43 = 1 × diameter
Diameter = 43
Problem 3
There are 43 pieces of candy and 1 bowl. How many candies will be in each bowl?
All 43 candies will be in the bowl.
Explanation
To find the candies in each bowl, divide the total candies by the number of bowls.
43/1 = 43
Problem 4
In a team, there are 43 players, and they all belong to one group. How many are in each subgroup?
There are 43 players in the group.
Explanation
Dividing the players by the total groups, we get the number of players in each group.
43/1 = 43
Problem 5
43 books need to be placed on 1 shelf. How many books will go on the shelf?
All 43 books will go on the shelf.
Explanation
Divide total books by shelves.
43/1 = 43
FAQs on Factors of 43
1.What are the factors of 43?
2.Mention the prime factors of 43.
3.Is 43 a multiple of 1?
4.Mention the factor pairs of 43?
5.Is 43 a prime number?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 43?
7.What are some fun ways kids in United Kingdom can practice Factors of 43 with numbers?
8.What role do numbers and Factors of 43 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 43 skills?
Important Glossaries for Factor of 43
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 43 are 1 and 43.
- Prime factors: The factors which are prime numbers. For example, 43 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 43 is (1, 43).
- Prime number: A number that has exactly two distinct positive divisors: 1 and itself. For example, 43 is a prime number.
- Negative factors: Factors that are negative. For example, -1 and -43 are negative factors of 43.
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About BrightChamps in United Kingdom
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.
