Factors of 397

2. Steps to find factors of 397 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 397 using the division method, follow these steps:

• Step 1. Start dividing 397 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 397, which is 397. Divide 397 by 397 to obtain the quotient (1).
  397 ÷ 397 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 397 is, 397 = 397.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 397 as shown below:

So, the prime factorization of 397 is, 397 = 397.

3. Find factors of 397 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 397 would be the two numbers which, when multiplied, give 397 as the result.

The following table represents the calculation of factors of 397 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 397. They are called negative pair factors.

Hence, the negative pairs of 397 would be ( -1 , -397 ) , .

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, 397 are exact divisors of 397.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 397 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 397.

Frequently Asked Questions

• What are the prime factors of 397?

  The factors of 397 are 1, 397.
  Prime factors of 397 are 397.

• What is the sum of all factors of 397?

  The sum of all factors of 397 is 398.

• What are the pair factors of 397?

  Pair factors of 397 are (1,397).

• What two numbers make 397?

  Two numbers that make 397 are 397 and 1.

• What are multiples of 397?

  First five multiples of 397 are 794, 1191, 1588, 1985.

• Is 397 a perfect square?

  No 397 is not a perfect square.

• Which is greatest factor of 397?

  The greatest factor of 397 is 1.

• How do you factors of 397?

  Factors of 397 are 1, 397.

• What are five multiples of 397?

  First five multiples of 397 are 794, 1191, 1588, 1985, 2382.

Examples of Factors