102 LearnersLast updated on May 26th, 2025
Factors of 433
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 433, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 433?
The numbers that divide 433 evenly are known as factors of 433.
A factor of 433 is a number that divides the number without remainder.
The factors of 433 are 1 and 433.
Negative factors of 433: -1 and -433.
Prime factors of 433: 433.
Prime factorization of 433: 433 (since 433 is a prime number).
The sum of factors of 433: 1 + 433 = 434
How to Find Factors of 433?
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 433. Since 433 is a prime number, its only multiplication pair is:
Step 1: Multiply 433 by 1, 433 × 1 = 433.
Therefore, the positive factor pair of 433 is: (1, 433).
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 using the simple division method:
Step 1: Divide 433 by 1, 433 ÷ 1 = 433.
Step 2: Continue dividing 433 by numbers until the remainder becomes 0.
433 ÷ 1 = 433
433 ÷ 433 = 1
Therefore, the factors of 433 are: 1 and 433.
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, since 433 is a prime number, it cannot be divided further into other prime factors.
The prime factorization of 433 is: 433.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors.
Since 433 is a prime number, the factor tree simply shows:
433 is already a prime number and cannot be divided further.
So, the prime factorization of 433 is: 433.
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 pair of 433: (1, 433).
Negative factor pair of 433: (-1, -433).
Common Mistakes and How to Avoid Them in Factors of 433
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 433, 1 and 433 is also a factor.
Factors of 433 Examples
Problem 1
There are 433 apples and 1 basket. How will they arrange them?
All 433 apples will go into the basket.
Explanation
Since there is only one basket, all apples go into it directly.
Problem 2
A gardener planted 433 plants in a row. How many plants are in each row if there is only one row?
There are 433 plants in the row.
Explanation
Since there is only one row, all 433 plants are in that single row.
Problem 3
A marathon has 433 participants. If each participant has a unique number, how many unique numbers will be assigned?
433 unique numbers will be assigned.
Explanation
Each participant receives one unique number, so with 433 participants, there are 433 unique numbers.
Problem 4
A library has 433 distinct books. If they're to be organized in one section, how many books will be in that section?
The section will have 433 books.
Explanation
Since all the books are distinct and in one section, the section contains 433 books.
Problem 5
A school has 433 chairs, and they need to be placed in one room. How many chairs will be in that room?
All 433 chairs will be in that room.
Explanation
Since all chairs are placed in one room, the room contains 433 chairs.
FAQs on Factors of 433
1.What are the factors of 433?
2.Mention the prime factors of 433.
3.Is 433 a multiple of any number other than 1 and itself?
4.Mention the factor pair of 433.
5.Is 433 a prime number?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 433?
7.What are some fun ways kids in United Kingdom can practice Factors of 433 with numbers?
8.What role do numbers and Factors of 433 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 433 skills?
Important Glossaries for Factors of 433
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 433 are 1 and 433.
- Prime factors: The factors which are prime numbers. For example, 433 is a prime factor of itself.
- Factor pair: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 433 is (1, 433).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 433 is a prime number.
- Division method: A method to find factors by dividing the number by whole numbers to check for no remainder.
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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.
