# Factors of 1369

Factors of 1369 are 1, 37, and 1369

#### How to find factors of a number

 1.   Find factors of 1369 using Division Method 2.   Find factors of 1369 using Prime Factorization 3.   Find factors of 1369 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1369

• Divide 1369 by 1: 1369 ÷ 1 : Remainder = 0
• Divide 1369 by 37: 1369 ÷ 37 : Remainder = 0
• Divide 1369 by 1369: 1369 ÷ 1369 : Remainder = 0

Hence, Factors of 1369 are 1, 37, and 1369

#### 2. Steps to find factors of 1369 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 1369 using the division method, follow these steps:

• Step 1. Start dividing 1369 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 1369, which is 37. Divide 1369 by 37 to obtain the quotient (37).
1369 ÷ 37 = 37
• Step 3. Repeat step 1 with the obtained quotient (37).
37 ÷ 37 = 1

So, the prime factorization of 1369 is, 1369 = 37 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1369 as shown below:

So, the prime factorization of 1369 is, 1369 = 37 x 37.

#### 3. Find factors of 1369 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 1369 would be the two numbers which, when multiplied, give 1369 as the result.

The following table represents the calculation of factors of 1369 in pairs:

Factor Pair Pair Factorization
1 and 1369 1 x 1369 = 1369
37 and 37 37 x 37 = 1369

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 1369. They are called negative pair factors.

Hence, the negative pairs of 1369 would be ( -1 , -1369 ) , ( -37 , -37 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 37, 1369 are exact divisors of 1369.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1369 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1369.

• What are the prime factors of 1369?

The factors of 1369 are 1, 37, 1369.
Prime factors of 1369 are 37, 37.

• What is the sum of all factors of 1369?

The sum of all factors of 1369 is 1407.

• What are the pair factors of 1369?

Pair factors of 1369 are (1,1369), (37,37).

• What two numbers make 1369?

Two numbers that make 1369 are 37 and 37.

• What are multiples of 1369?

First five multiples of 1369 are 2738, 4107, 5476, 6845.

• Is 1369 a perfect square?

Yes 1369 is a perfect square.

• Which is greatest factor of 1369?

The greatest factor of 1369 is 37.

• How do you factors of 1369?

Factors of 1369 are 1, 37, 1369.

• What are five multiples of 1369?

First five multiples of 1369 are 2738, 4107, 5476, 6845, 8214.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 1369?

Factors of 1369 are 1, 37, 1369.
Even factors of 1369 are 0.
Hence, product of even factors of 1369 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1369? Help her in writing all the factors.

Positive factors are 1, 37, 1369.
Negative factors are -1, -37, -1369.

How many factors are there for 1369?

Factors of 1369 are 1, 37, 1369.
So there are in total 3 factors.

Sammy is puzzled while calculating the prime factors of 1369. Can you help him find them?

Factors of 1369 are 1, 37, 1369.
Prime factors of 1369 are 37, 37

Joey wants to write all the prime factors of 1369 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1369 are 37, 37.
So in exponential form it can be written as 372.

What is prime factorization of 1369?

Prime factorization of 1369 is 37 x 37 = 372.

Can you help Rubel to find out the product of the even factors of 1369?

Factors of 1369 are 1, 37, 1369.
Even factors of 1369 are 0.
Hence, product of even factors of 1369 is; 0 = 0.