Factors of 251

2. Steps to find factors of 251 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 251 using the division method, follow these steps:

• Step 1. Start dividing 251 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 251, which is 251. Divide 251 by 251 to obtain the quotient (1).
  251 ÷ 251 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 251 is, 251 = 251.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 251 as shown below:

So, the prime factorization of 251 is, 251 = 251.

3. Find factors of 251 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 251 would be the two numbers which, when multiplied, give 251 as the result.

The following table represents the calculation of factors of 251 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 251. They are called negative pair factors.

Hence, the negative pairs of 251 would be ( -1 , -251 ) , .

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 251 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, 251 are exact divisors of 251.
• Factors of 251 are 1, 251. Each factor divides 251 without leaving a remainder.

Frequently Asked Questions

• What is prime factorization of 251?

  Prime factorization of 251 is 251.

• How do you find factors of a negative number? ( eg. -251 )?

  Factors of -251 are -1, -251.

• What are the prime factors of 251?

  The factors of 251 are 1, 251.
  Prime factors of 251 are 251.

• What are pair factors of 251?

  The pair factors of 251 are (1,251).

• What is the greatest prime factors of 251?

  The greatest prime factor of 251 is 251.

• What are six multiples of 251?

  First five multiples of 251 are 502, 753, 1004, 1255, 1506, 1757.

• What are factors of 251?

  Factors of 251 are 1, 251.

• Which is the smallest prime factor of 251?

  Smallest prime factor of 251 is 251.

• Is 251 a whole number?

  Yes 251 is a whole number.

Examples of Factors