100 LearnersLast updated on May 26th, 2025
Factors of 1430
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 1430, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1430?
The numbers that divide 1430 evenly are known as factors of 1430.
A factor of 1430 is a number that divides the number without remainder.
The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, and 1430.
Negative factors of 1430: -1, -2, -5, -10, -11, -13, -22, -26, -55, -65, -110, -130, -143, -286, -715, and -1430.
Prime factors of 1430: 2, 5, 11, and 13.
Prime factorization of 1430: 2 × 5 × 11 × 13.
The sum of factors of 1430: 1 + 2 + 5 + 10 + 11 + 13 + 22 + 26 + 55 + 65 + 110 + 130 + 143 + 286 + 715 + 1430 = 2924
How to Find Factors of 1430?
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 1430. Identifying the numbers which are multiplied to get the number 1430 is the multiplication method.
Step 1: Multiply 1430 by 1, 1430 × 1 = 1430.
Step 2: Check for other numbers that give 1430 after multiplying
2 × 715 = 1430
5 × 286 = 1430
10 × 143 = 1430
11 × 130 = 1430
13 × 110 = 1430
22 × 65 = 1430
26 × 55 = 1430
Therefore, the positive factor pairs of 1430 are: (1, 1430), (2, 715), (5, 286), (10, 143), (11, 130), (13, 110), (22, 65), (26, 55).
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 in whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 1430 by 1, 1430 ÷ 1 = 1430.
Step 2: Continue dividing 1430 by the numbers until the remainder becomes 0.
1430 ÷ 1 = 1430
1430 ÷ 2 = 715
1430 ÷ 5 = 286
1430 ÷ 10 = 143
1430 ÷ 11 = 130
1430 ÷ 13 = 110
Therefore, the factors of 1430 are: 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430.
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 1430 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1430 ÷ 2 = 715
715 ÷ 5 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
The prime factors of 1430 are 2, 5, 11, and 13.
The prime factorization of 1430 is: 2 × 5 × 11 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1430 is divided by 2 to get 715.
Step 2: Now divide 715 by 5 to get 143.
Step 3: Then divide 143 by 11 to get 13.
Here, 13 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1430 is: 2 × 5 × 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 1430: (1, 1430), (2, 715), (5, 286), (10, 143), (11, 130), (13, 110), (22, 65), (26, 55).
Negative factor pairs of 1430: (-1, -1430), (-2, -715), (-5, -286), (-10, -143), (-11, -130), (-13, -110), (-22, -65), (-26, -55).
Common Mistakes and How to Avoid Them in Factors of 1430
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 1430, 1 and 1430 are also factors.
Factors of 1430 Examples
Problem 1
A garden has 1430 flowers and 26 rows. How many flowers should be planted in each row to arrange them equally?
Each row should have 55 flowers.
Explanation
To arrange the flowers equally, we need to divide the total flowers by the number of rows.
1430/26 = 55
Problem 2
A park is rectangular, the length of the park is 110 meters and the total area is 1430 square meters. Find the width?
13 meters.
Explanation
To find the width of the park, we use the formula,
Area = length × width
1430 = 110 × width
To find the value of width, we need to shift 110 to the left side.
1430/110 = width
Width = 13.
Problem 3
There are 715 sweets and 143 gift boxes. How many sweets will be in each gift box?
Each gift box will have 5 sweets.
Explanation
To find the sweets in each gift box, divide the total sweets by the number of gift boxes.
715/143 = 5
Problem 4
A classroom has 1430 books, and 11 shelves. How many books are there on each shelf?
There are 130 books on each shelf.
Explanation
Dividing the books by the total number of shelves, we get the number of books on each shelf.
1430/11 = 130
Problem 5
1430 apples need to be packed into 65 crates. How many apples will go in each crate?
Each crate will have 22 apples.
Explanation
Divide the total apples by the number of crates.
1430/65 = 22
FAQs on Factors of 1430
1.What are the factors of 1430?
2.Mention the prime factors of 1430.
3.Is 1430 a multiple of 11?
4.Mention the factor pairs of 1430?
5.What is the square of 1430?
6.How can children in Australia use numbers in everyday life to understand Factors of 1430?
7.What are some fun ways kids in Australia can practice Factors of 1430 with numbers?
8.What role do numbers and Factors of 1430 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1430 skills?
Important Glossaries for Factors of 1430
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, and 1430.
- Prime factors: The factors which are prime numbers. For example, 2, 5, 11, and 13 are prime factors of 1430.
- 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 1430 are (1, 1430), (2, 715), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1430 is 2 × 5 × 11 × 13.
- Divisors: Another term for factors; they are numbers that divide a given number without a remainder. For instance, the divisors of 1430 are the same as its factors.
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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
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