Factors of 31

The factor of 31 is the number when multiplied, giving 31 as product. The factors of 31 are 1 and 31. 

Negative factors of 31: Factors of a number can be both positive and negative. The negative factors of a number are the negative counterpart of the positive factors. So, the negative factors of 31 are -1 and -31.

Prime factors of 31: As 31 is a prime number, the prime factors of 31 are 1 and 31.

There are different methods to find the factors. Some methods commonly used are

• Multiplication method

• Division method

• Prime factors and prime factorization

• Factor tree
   

The pair of numbers when multiplied gives the 31 as a product.  Follow the steps to find the factors of 31

Step 1: Find all numbers whose product is 31

1 × 31 = 31

Step 2:  pair them up and make a list of it

        
Factors of 31 are (1, 31)
 

In the division method, we need to check which numbers can evenly divide 31. 

Let’s check the factors of 31 using division method:

31 / 1 =31

Prime factorization of a number is dividing the number into small factors. The product of the prime factors will be the number itself. 

As 31 is a prime number, the prime factors of 31 are 1 and 31.
 

The pictorial representation of prime factorization is a factor tree. Here each branch splits into prime factors. 

Factor pairs: As the name, factor pairs are the pair of numbers and the product of the pair would be the number itself

Positive factor pairs of 31: (1, 31)

Negative factor pairs of 31: (-1, -31)

• Prime numbers: Any number which can only divisible by one and the number itself is a prime number.

• Composite numbers: The numbers other than prime are composite numbers. They have more than two factors.

• Factor tree: The pictorial representation of factors of a number.

• Quotient: The result when dividing two numbers. For example, when we divide 6 by 2, the quotient is 3