# Factors of 1297

Factors of 1297 are 1 and 1297

#### How to find factors of a number

 1.   Find factors of 1297 using Division Method 2.   Find factors of 1297 using Prime Factorization 3.   Find factors of 1297 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1297

• Divide 1297 by 1: 1297 ÷ 1 : Remainder = 0
• Divide 1297 by 1297: 1297 ÷ 1297 : Remainder = 0

Hence, Factors of 1297 are 1 and 1297

#### 2. Steps to find factors of 1297 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 1297 using the division method, follow these steps:

• Step 1. Start dividing 1297 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 1297, which is 1297. Divide 1297 by 1297 to obtain the quotient (1).
1297 ÷ 1297 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1297 is, 1297 = 1297.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1297 as shown below:

So, the prime factorization of 1297 is, 1297 = 1297.

#### 3. Find factors of 1297 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 1297 would be the two numbers which, when multiplied, give 1297 as the result.

The following table represents the calculation of factors of 1297 in pairs:

Factor Pair Pair Factorization
1 and 1297 1 x 1297 = 1297

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 1297. They are called negative pair factors.

Hence, the negative pairs of 1297 would be ( -1 , -1297 ) , .

#### 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, 1297 are exact divisors of 1297.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1297 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1297.

• What are the prime factors of 1297?

The factors of 1297 are 1, 1297.
Prime factors of 1297 are 1297.

• What is the sum of all factors of 1297?

The sum of all factors of 1297 is 1298.

• What are the pair factors of 1297?

Pair factors of 1297 are (1,1297).

• What two numbers make 1297?

Two numbers that make 1297 are 1297 and 1.

• What are multiples of 1297?

First five multiples of 1297 are 2594, 3891, 5188, 6485.

• Is 1297 a perfect square?

No 1297 is not a perfect square.

• Which is greatest factor of 1297?

The greatest factor of 1297 is 1.

• How do you factors of 1297?

Factors of 1297 are 1, 1297.

• What are five multiples of 1297?

First five multiples of 1297 are 2594, 3891, 5188, 6485, 7782.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 1297?

Factors of 1297 are 1, 1297.
Even factors of 1297 are 0.
Hence, product of even factors of 1297 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1297? Help her in writing all the factors.

Positive factors are 1, 1297.
Negative factors are -1, -1297.

How many factors are there for 1297?

Factors of 1297 are 1, 1297.
So there are in total 2 factors.

Sammy is puzzled while calculating the prime factors of 1297. Can you help him find them?

Factors of 1297 are 1, 1297.
Prime factors of 1297 are 1297

Joey wants to write all the prime factors of 1297 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1297 are 1297.
So in exponential form it can be written as 1297.

What is prime factorization of 1297?

Prime factorization of 1297 is 1297 = 1297.

Can you help Rubel to find out the product of the even factors of 1297?

Factors of 1297 are 1, 1297.
Even factors of 1297 are 0.
Hence, product of even factors of 1297 is; 0 = 0.