# Factors of 140

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

#### How to find factors of a number

 1.   Find factors of 140 using Division Method 2.   Find factors of 140 using Prime Factorization 3.   Find factors of 140 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 140

• Divide 140 by 1: 140 ÷ 1 : Remainder = 0
• Divide 140 by 2: 140 ÷ 2 : Remainder = 0
• Divide 140 by 4: 140 ÷ 4 : Remainder = 0
• Divide 140 by 5: 140 ÷ 5 : Remainder = 0
• Divide 140 by 7: 140 ÷ 7 : Remainder = 0
• Divide 140 by 10: 140 ÷ 10 : Remainder = 0
• Divide 140 by 14: 140 ÷ 14 : Remainder = 0
• Divide 140 by 20: 140 ÷ 20 : Remainder = 0
• Divide 140 by 28: 140 ÷ 28 : Remainder = 0
• Divide 140 by 35: 140 ÷ 35 : Remainder = 0
• Divide 140 by 70: 140 ÷ 70 : Remainder = 0
• Divide 140 by 140: 140 ÷ 140 : Remainder = 0

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

#### 2. Steps to find factors of 140 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 140 using the division method, follow these steps:

• Step 1. Start dividing 140 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 140, which is 2. Divide 140 by 2 to obtain the quotient (70).
140 ÷ 2 = 70
• Step 3. Repeat step 1 with the obtained quotient (70).
70 ÷ 2 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1

So, the prime factorization of 140 is, 140 = 2 x 2 x 5 x 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 140 as shown below:

So, the prime factorization of 140 is, 140 = 2 x 2 x 5 x 7.

#### 3. Find factors of 140 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 140 would be the two numbers which, when multiplied, give 140 as the result.

The following table represents the calculation of factors of 140 in pairs:

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 ) , ( -2 , -70 ) , ( -4 , -35 ) , ( -5 , -28 ) , ( -7 , -20 ) and ( -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.

• What are the pair factors of 140?

Pair factors of 140 are (1,140), (2,70), (4,35), (5,28), (7,20), (10,14).

• What are five multiples of 140?

First five multiples of 140 are 280, 420, 560, 700, 840.

• What two numbers make 140?

Two numbers that make 140 are 2 and 70.

• What is the sum of all factors of 140?

The sum of all factors of 140 is 336.

• What are factors of -140?

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

• What are factors of 140?

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

• Is 140 a perfect square?

No 140 is not a perfect square.

• Which is the smallest prime factor of 140?

Smallest prime factor of 140 is 2.

• Which is greatest factor of 140?

The greatest factor of 140 is 70.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 140?

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.
Hence product of odd factors of 140 is; 1 x 5 x 7 x 35 = 1225.

Joey wants to write all the prime factors of 140 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 140 are 2, 2, 5, 7.
So in exponential form it can be written as 22 x 5 x 7.

How many factors are there for 140?

Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 140. Can you predict the answer?

11 factor(s) of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70.

Sammy is puzzled while calculating the prime factors of 140. Can you help him find them?

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

What is prime factorization of 140?

Prime factorization of 140 is 2 x 2 x 5 x 7 = 22 x 5 x 7.

Can you help Rubel to find out the product of the even factors of 140?

Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140.
Even factors of 140 are 2, 4, 10, 14, 20, 28, 70, 140.
Hence, product of even factors of 140 is; 2 x 4 x 10 x 14 x 20 x 28 x 70 x 140 = 6146560000.