# Factors of 140 in pair

Factors of 140 in pair are (1, 140) , (2, 70) , (4, 35) , (5, 28) , (7, 20) and (10, 14)

#### How to find factors of a number in pair

 1.   Steps to find factors of 140 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 140 in pair

Factor Pair Pair Factorization
1 and 140 1 x 140 = 140
2 and 70 2 x 70 = 140
4 and 35 4 x 35 = 140
5 and 28 5 x 28 = 140
7 and 20 7 x 20 = 140
10 and 14 10 x 14 = 140

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 140. They are called negative pair factors.

Hence, the negative pairs of 140 would be ( -1 , -140 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 140 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 28 , 35 , 70 , 140. So, factors of 140 in pair are (1,140), (2,70), (4,35), (5,28), (7,20), (10,14).

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 140 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 140.
• Every number is a factor of zero (0), since 140 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140 are exact divisors of 140.
• Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. Each factor divides 140 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140 are all less than or equal to 140.

#### Steps to find Factors of 140

• Step 1. Find all the numbers that would divide 140 without leaving any remainder. Starting with the number 1 upto 70 (half of 140). The number 1 and the number itself are always factors of the given number.
140 ÷ 1 : Remainder = 0
140 ÷ 2 : Remainder = 0
140 ÷ 4 : Remainder = 0
140 ÷ 5 : Remainder = 0
140 ÷ 7 : Remainder = 0
140 ÷ 10 : Remainder = 0
140 ÷ 14 : Remainder = 0
140 ÷ 20 : Remainder = 0
140 ÷ 28 : Remainder = 0
140 ÷ 35 : Remainder = 0
140 ÷ 70 : Remainder = 0
140 ÷ 140 : Remainder = 0

Hence, Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140

• Is 140 a composite number?

Yes 140 is a composite number.

• Is 140 a prime number?

No 140 is not a prime number.

• Is 140 a perfect square?

No 140 is not a perfect square.

• Write five multiples of 140.

Five multiples of 140 are 280, 420, 560, 700, 840.

• Write all odd factors of 140?

The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140.
Odd factors of 140 are 1 , 5 , 7 , 35.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 140.
- Writing all prime factors of 140.
- Writing all the possible factors of 140 in pair.
Help him in writing all these.

Positive factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140.
Prime factors of 140 are 2, 2, 5, 7.
Factors of 140 in pair are (1,140), (2,70), (4,35), (5,28), (7,20), (10,14).

What are the pair factors of 140?

Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. Hence, the factors of 140 in pair are (1,140), (2,70), (4,35), (5,28), (7,20), (10,14).

Can you help Sammy list the factors of 140 and also find the factor pairs?

Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140.
Factors of 140 in pair are (1,140), (2,70), (4,35), (5,28), (7,20), (10,14).

The area of a rectangle is 140 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 140 in pair. So, the possible combinations (1,140), (2,70), (4,35), (5,28), (7,20), (10,14).

Help Diji in finding factors of 140 by Prime Factorization method and then sorting factors of 140 in pairs.

Prime factorization of 140 is 2 x 2 x 5 x 7. Factors of 140 in pair can be written as (1,140), (2,70), (4,35), (5,28), (7,20), (10,14).

Write the smallest prime factor of 140.

Smallest prime factor of 140 is 2.

Write the largest prime factor of 140.

Largest prime factor of 140 is 7.

Diji wants to write all the negative factors of 140. Can you help Diji in doing the same?

Negative factors of 140 are -1, -2, -4, -5, -7, -10, -14, -20, -28, -35, -70, -140.