Factors of 257

2. Steps to find factors of 257 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 257 using the division method, follow these steps:

• Step 1. Start dividing 257 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 257, which is 257. Divide 257 by 257 to obtain the quotient (1).
  257 ÷ 257 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 257 is, 257 = 257.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 257 as shown below:

So, the prime factorization of 257 is, 257 = 257.

3. Find factors of 257 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 257 would be the two numbers which, when multiplied, give 257 as the result.

The following table represents the calculation of factors of 257 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 257. They are called negative pair factors.

Hence, the negative pairs of 257 would be ( -1 , -257 ) , .

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 257 are exact divisors of 257.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 257 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 257.

Frequently Asked Questions

• What are the pair factors of 257?

  Pair factors of 257 are (1,257).

• What are five multiples of 257?

  First five multiples of 257 are 514, 771, 1028, 1285, 1542.

• What two numbers make 257?

  Two numbers that make 257 are 257 and 1.

• What is the sum of all factors of 257?

  The sum of all factors of 257 is 258.

• What are factors of -257?

  Factors of -257 are -1, -257.

• What are factors of 257?

  Factors of 257 are 1, 257.

• Is 257 a perfect square?

  No 257 is not a perfect square.

• Which is the smallest prime factor of 257?

  Smallest prime factor of 257 is 257.

• Which is greatest factor of 257?

  The greatest factor of 257 is 1.

Examples of Factors