Factors of 140

The numbers which can evenly divide 140 are the factors of 140. 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140 are the factors of 140.

 

Negative factors of 140: The negative factors of 140 are the negative counterparts of the positive factors. -1, -2, -4, -5, -7, -10, -14, -20, -28, -35, -70, -140 are the negative factors of 140.

 

Prime factors of 140: A prime number is a number which has only two factors, i.e., 1 and the number itself.
2, 5, and 7 are the prime factors of 140.

 

Prime factorization of 140: The process of splitting a number into smaller prime numbers is prime factorization. Here, the product of prime numbers is the number itself.

The prime factorization of 140 is 2² × 5 × 7
 

Factors of a number is a number which can evenly divide the number. Some methods which are used to find the factor of a 140 are,

 

• Multiplication method

 

• Division method

 

• Prime factors and prime factorization

 

• Factor tree
   

In the multiplication method a pair of numbers are identified, the product of multiplying the number is 140. 

 

Step 1: Find the numbers whose product is 140.

 

1 × 140 = 140

2 × 70 = 140

4 × 35 = 140

5 × 28 = 140

7 × 20 = 140

10 × 14 = 140

 

Step 2: List them as pairs

 

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

 

In the division method, we need to check which number can evenly divide 140. 

 

Let’s check the factors of 140 using division method

 

140 ÷ 1 = 140

140 ÷ 2 = 70

140 ÷ 5 = 28

140 ÷ 7 = 20

140 ÷ 10 = 14

So, the factors are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140 
 

Prime numbers are the numbers which have only two factors. The process of breaking down a large number into a smaller prime number is prime factorization. 

To find the factors of a number prime factorization, we need to follow these steps

 

Step 1: The given number needs to be divided with the smallest prime number.

 

Step 2: Now, we need to divide the remainder in step 1 with the prime number. The process is continued till the remainder is a prime number.

 
 Let's use the prime factorization method to find the factors of 140.

 

The prime factors of 140 are 2, 5, 7.

 

2, 3, 5, 7, 11, 13, 17,… are the prime numbers. 

 

Step 1: Checking the divisibility by 2: 140 is an even number, it is divisible by 2.

 

140 ÷ 2 = 70

Step 2: The process is continued till the remainder is a prime number.

 

70 ÷ 2 = 35

35 ÷ 5 = 7

Step 3: Now, the remainder is 7 which is a prime number.

 

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

The Pictorial representation of factors of a number. It is in the form of a tree where the given number is split into branches which represent all the factors. 

 

The factor tree of 140:

 

A pair of factors of a number. The product of those numbers is the number itself. Factor pairs can be both positive and negative.

 

Positive pair factors: (1, 140), (2, 70), (4, 35), (5, 28), (7, 20), (10, 14)

Negative pair factors: (-1, -140), (-2, -70), (-4, -35), (-5, -28), (-7, -20), (-10, -14)

• Prime number: Any numbers which has only two factors are the prime numbers

 

• Composite numbers: The number which has more than two factors

 

• Remainder: The value left after dividing a number by another number. For example, 1 is the remainder when we divide 5 by 2.

 

• Product: The product of any number is the result of multiplying the number.