Factors of 31

2. Steps to find factors of 31 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 31 using the division method, follow these steps:

• Step 1. Start dividing 31 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 31, which is 31. Divide 31 by 31 to obtain the quotient (1).
  31 ÷ 31 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 31 is, 31 = 31.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 31 as shown below:

So, the prime factorization of 31 is, 31 = 31.

3. Find factors of 31 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 31 would be the two numbers which, when multiplied, give 31 as the result.

The following table represents the calculation of factors of 31 in pairs:

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 31. They are called negative pair factors.

Hence, the negative pairs of 31 would be ( -1 , -31 ) , .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

• Every number is a factor of zero (0), since 31 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, 31 are exact divisors of 31.
• Factors of 31 are 1, 31. Each factor divides 31 without leaving a remainder.

Frequently Asked Questions

• Is 31 a perfect square?

  No 31 is not a perfect square.

• What are factors of 31?

  Factors of 31 are 1, 31.

• Which is greatest factor of 31?

  The greatest factor of 31 is 1.

• What is the sum of all factors of 31?

  The sum of all factors of 31 is 32.

• What are multiples of 31?

  First five multiples of 31 are 62, 93, 124, 155.

• What is the greatest prime factors of 31?

  The greatest prime factor of 31 is 31.

• What are six multiples of 31?

  First five multiples of 31 are 62, 93, 124, 155, 186, 217.

• What is prime factorization of 31?

  Prime factorization of 31 is 31.

• Is 31 a whole number?

  Yes 31 is a whole number.

Examples of Factors