Factors of 140
140, an even composite number, has factors other than 1 and itself. Hence, the pair factors of 140 will be combination of all those numbers which on product give 140. For example, (2, 70). Let’s learn more about factors of 140, factors of 140 in pairs and the prime factors of 140.
 Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70 and 140
 Prime Factorization of 140: 2 × 2 × 7 × 5
1.  What Are the Factors of 140? 
2.  How to Calculate Factors of 140? 
3.  Factors of 140 by Prime Factorization 
4.  Factors of 140 in Pairs 
5.  Important Notes 
6.  FAQs on Factors of 140 
What Are The Factors of 140?
 The pairs of numbers that when multiplied together make 140 are the factors of 140.
 1 × 140, 2 × 70 , 4 × 35 , 5 × 28 , 7 × 20, 10 × 14 are the pairs that make 140 and they are all the factors of 140.
 We can use different methods to calculate the factors of 140.
 In prime factorization, we express 140 as a product of its prime factors and in the division method, we see what numbers divide 140 exactly without a remainder.
How To Calculate Factors of 140?
 Let's begin calculating the factors of 140, with our idea that any number that completely divides 140 without any remainder is its factor.
 Let's start with the whole number 1. 140 ÷ 1 = 140
 The next whole number is 2. Now, divide 30 by 2. 140 ÷ 2 = 70
 Proceeding in this manner we obtain all the factors of 30.
 140 ÷ 4 = 35
 140 ÷ 5 = 28
 140 ÷ 10 = 14
Hence, the factors of 140 are, 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70 and 140.
Explore factors using illustrations and interactive examples
 Factors of 36: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
 Factors of 24: The factors of 24 are1, 2, 3, 4, 6, 8, 12, 24
 Factors of 6: The factors of 6 are 1, 2, 3, 6
 Factors of 180: The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
 Factors of 45: The factors of 36 are 1, 5, 9, 45
Factors of 140 by Prime Factorization
"Prime factorization is to express a composite number as the product of its prime factors."
 To get the prime factors of 30, we divide it by its smallest prime factor, which is 2. 140 ÷ 2 = 70
 Now, 70 is divided by its smallest prime factor and the quotient is obtained. 70 ÷ 2 = 35
 35 ÷ 5 = 7. 7 ÷ 7 =1. This process goes on until we get the quotient as 1.
The prime factorization of 140 is shown below:
Factors of 140 in Pairs
Factor pairs of 140 are the two numbers which, when multiplied, give the number 140. Therefore, the distinct pair factors of 140 are (1,140), (2, 70), (4, 35), and (5, 28).
Important Notes
 The numbers which we multiply in pairs to get 140 are the factors of 140.
 Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70 and 140.
 The number itself is a factor of the number as it divides itself exactly. Factor pairs are the pairs of two numbers which, when multiplied, give the number. Factor pairs of 140 are (1,140) (2,70) (4,35) (5,28) (7, 20), and (10,14)
Factors of 140 Solved Examples

Example 1: List the factors of 140.
Solution:
Factors of 140 are the numbers that divide 140 exactly without any remainder.
140 ÷ 1 = 140
140 ÷ 2 = 70
140 ÷ 4 = 35
140÷ 5 = 28
140 ÷ 7 = 20
140 ÷ 10 = 14
Therefore, factors of 140 are 1, 2, 4, 5, 7, 10, 14, 28, 35, 70, and 140

Example 2: Find the factors of 140 and the factors of 70.
Solution:
Factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70
Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140We can see that 1, 2, 5, 7, 10, 14, 35, and 70 are common factors of 70 and 140.

Example 2: The area of the rectangle is 140 square inches. List down all various possible combinations possible for the length and breadth.
Solution:
The area of rectangle = length × breadth
The given area is 140 square inches.So, the possible length and breadth are the factors of 140.
The 12 possible combinations of factors of 140 pairs are:Length Breadth 1 in 140 in 2 in 70 in 4 in 35 in 5 in 28 in 7 in 20 in 10 in 14 in 14 in 10 in 20 in 7 in 28 in 5 in 35 in 4 in 70 in 2 in 140 in 1 in
FAQs on Factors of 140
What are the factors of 140?
The factors of 140 are 1, 2, 4, 5, 8, 10, 14, 28, 35, 70, and 140
What is 140 as a product of its prime factors?
140 can be written as a product of its prime factors as 140 = 2 × 2 × 5 × 7
Is 140 a perfect square?
140 is not a perfect square because the square root of 140 is not equal to a whole number.
What are the factors of 140 and 142?
The factors of 140 are 1, 2, 4, 5 ,7, 8 ,10, 14, 28, 35, 70 and 140.
The factors of 142 are 1, 2, 71, and 142
What are the prime numbers of 140?
The prime factors of 140 are 2 , 5 and 7 because 2^{2} × 5 × 7.
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