# Factors of 397

Factors of 397 are 1 and 397

#### How to find factors of a number

 1.   Find factors of 397 using Division Method 2.   Find factors of 397 using Prime Factorization 3.   Find factors of 397 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 397

• Divide 397 by 1: 397 ÷ 1 : Remainder = 0
• Divide 397 by 397: 397 ÷ 397 : Remainder = 0

Hence, Factors of 397 are 1 and 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:

Factor Pair Pair Factorization
1 and 397 1 x 397 = 397

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.

• 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

Can you help Rubel to find out the product of the even factors of 397?

Factors of 397 are 1, 397.
Even factors of 397 are 0.
Hence, product of even factors of 397 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 397? Help her in writing all the factors.

Positive factors are 1, 397.
Negative factors are -1, -397.

How many factors are there for 397?

Factors of 397 are 1, 397.
So there are in total 2 factors.

Sammy is puzzled while calculating the prime factors of 397. Can you help him find them?

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

Joey wants to write all the prime factors of 397 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 397 are 397.
So in exponential form it can be written as 397.

What is prime factorization of 397?

Prime factorization of 397 is 397 = 397.

Can you help Rubel to find out the product of the even factors of 397?

Factors of 397 are 1, 397.
Even factors of 397 are 0.
Hence, product of even factors of 397 is; 0 = 0.