100 LearnersLast updated on May 26th, 2025
Factors of 1429
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 1429, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1429?
The numbers that divide 1429 evenly are known as factors of 1429.
A factor of 1429 is a number that divides the number without a remainder.
The factors of 1429 are 1, 1429.
Negative factors of 1429: -1, -1429.
Since 1429 is a prime number, it has no prime factors other than itself.
The sum of factors of 1429: 1 + 1429 = 1430
How to Find Factors of 1429?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify pairs of numbers that are multiplied to give 1429. Identifying the numbers which are multiplied to get the number 1429 is the multiplication method.
Step 1: Multiply 1429 by 1, 1429 × 1 = 1429.
Since 1429 is a prime number, it has no other multiplication pairs.
Therefore, the positive factor pair of 1429 is: (1, 1429).
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 as whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 1429 by 1, 1429 ÷ 1 = 1429.
Step 2: Continue dividing 1429 by numbers until the remainder becomes 0.
1429 ÷ 1 = 1429
1429 ÷ 1429 = 1
Therefore, the factors of 1429 are: 1, 1429.
Prime Factors and Prime Factorization
Since 1429 is a prime number, it does not have any prime factors other than itself.
The concept of prime factorization does not apply to prime numbers.
Factor Tree
The factor tree is a graphical representation often used to break down numbers into their prime factors.
However, as 1429 is a prime number, the factor tree for 1429 would only show itself and 1.
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 1429: (1, 1429).
Negative factor pairs of 1429: (-1, -1429).
Common Mistakes and How to Avoid Them in Factors of 1429
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 1429, 1 and 1429 are also factors.
Factors of 1429 Examples
Problem 1
There are 1429 apples and 1 basket. How will they fit the apples?
All 1429 apples will fit in the basket.
Explanation
Since there is only 1 basket, all the apples will go into that one basket.
Problem 2
A building has 1429 bricks. If each row uses one brick, how many rows will be there?
There will be 1429 rows.
Explanation
To find the number of rows, divide the total bricks by the number of bricks per row.
1429/1 = 1429
Problem 3
There are 1429 pages in a book. If a student reads 1 page a day, how many days will it take to finish the book?
It will take 1429 days.
Explanation
To find how many days it will take, divide the total pages by the pages read per day.
1429/1 = 1429
Problem 4
A concert has 1429 seats, and each ticket grants one person a seat. How many people can attend?
1429 people can attend.
Explanation
Each ticket grants one seat, so the total number of people who can attend is equal to the number of seats.
1429/1 = 1429
Problem 5
1429 tiles need to be laid on a single line. How many tiles will be in the line?
There will be 1429 tiles in the line.
Explanation
All tiles need to be laid in a single line, so the number of tiles in the line will be equal to the total number of tiles.
1429/1 = 1429
FAQs on Factors of 1429
1.What are the factors of 1429?
2.Mention the prime factors of 1429.
3.Is 1429 a multiple of any number other than itself and 1?
4.Mention the factor pairs of 1429.
5.Is 1429 a prime number?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1429?
7.What are some fun ways kids in United Kingdom can practice Factors of 1429 with numbers?
8.What role do numbers and Factors of 1429 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 1429 skills?
Important Glossaries for Factor of 1429
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1429 are 1 and 1429.
- Prime Number: A number that has only two factors, 1 and itself. For example, 1429 is a prime number.
- 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 1429 is (1, 1429).
- Multiplication Method: A method used to find factors by identifying pairs of numbers that multiply to give the original number.
- Division Method: A method of finding factors by dividing the number by whole numbers to see if there is no remainder.
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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.
