112 LearnersLast updated on May 26th, 2025
Factors of 142
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 142, how they are used in real life, and tips to learn them quickly.
What are the Factors of 142?
The numbers that divide 142 evenly are known as factors of 142. A factor of 142 is a number that divides the number without a remainder. The factors of 142 are 1, 2, 71, and 142.
Negative factors of 142: -1, -2, -71, and -142
Prime factors of 142: 2 and 71.
Prime factorization of 142: 2 × 71.
The sum of factors of 142: 1 + 2 + 71 + 142 = 216
How to Find Factors of 142?
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 the pairs of numbers that are multiplied to give 142. Identifying the numbers which are multiplied to get the number 142 is the multiplication method.
Step 1: Multiply 142 by 1, 142 × 1 = 142.
Step 2: Check for other numbers that give 142 after multiplying: 2 × 71 = 142
Therefore, the positive factor pairs of 142 are: (1, 142) and (2, 71). 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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 142 by 1, 142 ÷ 1 = 142.
Step 2: Continue dividing 142 by the numbers until the remainder becomes 0.
142 ÷ 1 = 142
142 ÷ 2 = 71
Therefore, the factors of 142 are: 1, 2, 71, 142.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 142 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
142 ÷ 2 = 71
71 ÷ 71 = 1
The prime factors of 142 are 2 and 71. The prime factorization of 142 is: 2 × 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 142 is divided by 2 to get 71.
Step 2: Now divide 71 by 71 to get 1. So, the prime factorization of 142 is: 2 × 71.
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 142: (1, 142) and (2, 71).
- Negative factor pairs of 142: (-1, -142) and (-2, -71).
Common Mistakes and How to Avoid Them in Factors of 142
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 whole number. Always remember to include 1 and the number itself. For example, in factors of 142, 1 and 142 are also factors.
Factors of 142 Examples
Problem 1
There are 71 students and 142 pencils. How will they divide the pencils equally?
They will get 2 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students
142/71 = 2
Problem 2
A rectangular field has a width of 2 meters and a total area of 142 square meters. Find the length.
71 meters.
Explanation
To find the length of the field, we use the formula,
Area = length × width
142 = length × 2
To find the value of length, we need to shift 2 to the left side.
142/2 = length
Length = 71.
Problem 3
There are 2 teams and 142 players. How many players are there in each team?
Each team will have 71 players.
Explanation
To find the players in each team,
divide the total players by the number of teams.
142/2 = 71
Problem 4
In a classroom, there are 142 chairs, and 71 rows. How many chairs are there in each row?
There are 2 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
142/71 = 2
Problem 5
142 books need to be arranged in 71 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Explanation
Divide total books by shelves.
142/71 = 2
FAQs on Factors of 142
1.What are the factors of 142?
2.Mention the prime factors of 142.
3.Is 142 a multiple of 2?
4.Mention the factor pairs of 142?
5.What is the square of 142?
Important Glossaries for Factor of 142
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 142 are 1, 2, 71, and 142.
- Prime factors: The factors which are prime numbers. For example, 2 and 71 are prime factors of 142.
- 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 142 are (1, 142) and (2, 71).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 142 is 2 × 71.
- Multiplication Method: A method to find factors by identifying pairs of numbers that multiply to give a specific number. For example, using multiplication to find factors of 142 like 2 × 71.
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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.
