Factors of 431

2. Steps to find factors of 431 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 431 using the division method, follow these steps:

• Step 1. Start dividing 431 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 431, which is 431. Divide 431 by 431 to obtain the quotient (1).
  431 ÷ 431 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 431 is, 431 = 431.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 431 as shown below:

So, the prime factorization of 431 is, 431 = 431.

3. Find factors of 431 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 431 would be the two numbers which, when multiplied, give 431 as the result.

The following table represents the calculation of factors of 431 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 431. They are called negative pair factors.

Hence, the negative pairs of 431 would be ( -1 , -431 ) , .

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 431 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, 431 are exact divisors of 431.
• Factors of 431 are 1, 431. Each factor divides 431 without leaving a remainder.

Frequently Asked Questions

• What is prime factorization of 431?

  Prime factorization of 431 is 431.

• How do you find factors of a negative number? ( eg. -431 )?

  Factors of -431 are -1, -431.

• What are the prime factors of 431?

  The factors of 431 are 1, 431.
  Prime factors of 431 are 431.

• What are pair factors of 431?

  The pair factors of 431 are (1,431).

• What is the greatest prime factors of 431?

  The greatest prime factor of 431 is 431.

• What are six multiples of 431?

  First five multiples of 431 are 862, 1293, 1724, 2155, 2586, 3017.

• What are factors of 431?

  Factors of 431 are 1, 431.

• Which is the smallest prime factor of 431?

  Smallest prime factor of 431 is 431.

• Is 431 a whole number?

  Yes 431 is a whole number.

Examples of Factors