130 LearnersLast updated on May 26th, 2025
Factors of 1422
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 1422, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1422?
The numbers that divide 1422 evenly are known as factors of 1422.
A factor of 1422 is a number that divides the number without a remainder.
The factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, and 1422.
Negative factors of 1422: -1, -2, -3, -6, -9, -18, -79, -158, -237, -474, -711, and -1422.
Prime factors of 1422: 2, 3, and 79.
Prime factorization of 1422: 2 × 32 × 79.
The sum of factors of 1422: 1 + 2 + 3 + 6 + 9 + 18 + 79 + 158 + 237 + 474 + 711 + 1422 = 3120.
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How to Find Factors of 1422?
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, identify the pairs of numbers that are multiplied to give 1422. Identifying the numbers which are multiplied to get the number 1422 is the multiplication method.
Step 1: Multiply 1422 by 1, 1422 × 1 = 1422.
Step 2: Check for other numbers that give 1422 after multiplying
2 × 711 = 1422
3 × 474 = 1422
6 × 237 = 1422
9 × 158 = 1422
18 × 79 = 1422
Therefore, the positive factor pairs of 1422 are: (1, 1422), (2, 711), (3, 474), (6, 237), (9, 158), and (18, 79).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Divide the given numbers with the whole numbers until the remainder becomes zero, listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1422 by 1, 1422 ÷ 1 = 1422.
Step 2: Continue dividing 1422 by the numbers until the remainder becomes 0.
1422 ÷ 1 = 1422
1422 ÷ 2 = 711
1422 ÷ 3 = 474
1422 ÷ 6 = 237
1422 ÷ 9 = 158
1422 ÷ 18 = 79
Therefore, the factors of 1422 are: 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422.
Prime Factors and Prime Factorization
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 1422 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1422 ÷ 2 = 711
711 ÷ 3 = 237
237 ÷ 3 = 79
79 ÷ 79 = 1
The prime factors of 1422 are 2, 3, and 79.
The prime factorization of 1422 is: 2 × 32 × 79.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1422 is divided by 2 to get 711.
Step 2: Now divide 711 by 3 to get 237.
Step 3: Then divide 237 by 3 to get 79. Here, 79 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1422 is: 2 × 32 × 79.
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 1422: (1, 1422), (2, 711), (3, 474), (6, 237), (9, 158), (18, 79).
Negative factor pairs of 1422: (-1, -1422), (-2, -711), (-3, -474), (-6, -237), (-9, -158), (-18, -79).
Common Mistakes and How to Avoid Them in Factors of 1422
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 1422, 1 and 1422 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1422 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1422/1.5 = 948, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 1422 are prime numbers.
For example, 2, 3, and 79 are the prime factors of 1422, but it has other factors like 6, 9, and 18.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1422 as 2 × 32 × 79 and missing all the key factors.
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Factors of 1422 Examples
Problem 1
There are 6 teams and 1422 tickets. How will they divide them equally?
They will get 237 tickets each.
Explanation
To divide the tickets equally, we need to divide the total tickets by the number of teams.
1422/6 = 237
Problem 2
A hall is rectangular, the length of the hall is 9 meters and the total area is 1422 square meters. Find the width.
158 meters.
Explanation
To find the width of the hall, we use the formula,
Area = length × width
1422 = 9 × width
To find the value of width, we need to shift 9 to the left side.
1422/9 = width
Width = 158.
Problem 3
There are 18 sections and 1422 books. How many books will be in each section?
Each section will have 79 books.
Explanation
To find the books in each section, divide the total books by the sections.
1422/18 = 79
Problem 4
In a class, there are 1422 students, and 3 tracks. How many students are there on each track?
There are 474 students on each track.
Explanation
Dividing the students by the total tracks, we will get the number of students on each track.
1422/3 = 474
Problem 5
1422 flowers need to be arranged in 2 rows. How many flowers will go in each row?
Each of the rows has 711 flowers.
Explanation
Divide total flowers by rows.
1422/2 = 711
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FAQs on Factors of 1422
1.What are the factors of 1422?
2.Mention the prime factors of 1422.
3.Is 1422 a multiple of 9?
4.Mention the factor pairs of 1422?
5.What is the square of 1422?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1422?
7.What are some fun ways kids in United Kingdom can practice Factors of 1422 with numbers?
8.What role do numbers and Factors of 1422 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 1422 skills?
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Important Glossaries for Factors of 1422
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, and 1422.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 79 are prime factors of 1422.
- 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 1422 are (1, 1422), (2, 711), etc.
- Prime factorization: Breaking down a number into its basic set of prime numbers, such as 2 × 32 × 79 for 1422.
- Negative factors: The negative counterparts of the positive factors. For example, negative factors of 1422 are -1, -2, -3, etc.
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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.
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