Factors of 1369

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

Positive Factors
Positive factors: 1, 37, 1369

Negative Factors
Negative factors are the negative counterparts of the positive factors.
Negative factors: -1, -37, -1369

Prime Factors
Prime factors are prime numbers that, when multiplied together, give 1369 as the product.
Prime factors: 37

Prime Factorization
Prime factorization involves breaking 1369 into its prime factors.
It is expressed as 37²
 

There are different methods to find the factors of 1369.

Methods to Find the Factors of 1369:

1. Multiplication Method
2. Division Method
3. Prime Factorization
4. Factor Tree
    

The multiplication method finds the pair of factors that give 1369 as their product.

Steps:

1. Find the pair of numbers whose product is 1369.
2. The factors are those numbers which, when multiplied, give 1369.
3. Make a list of numbers whose product will be 1369.

A list of numbers whose products are 1369 is given below:

1 × 1369 = 1369
37 × 37 = 1369

Thus, the factors of 1369 are 1, 37, and 1369.
 

The division method finds the numbers that fully divide the given number.

Step 1:Since every number is divisible by 1, 1 will always be a factor.

Example: 1369÷1=1369

Step 2:Move to the next integer. Check divisibility until all possible factors are identified.

Thus, the factors of 1369 are 1, 37, and 1369
 

Multiplying prime numbers to get the given number as their product is called prime factorization. A number, when simplified using the factors of that number and expressed in the form of prime factors, represents its prime factorization.

Prime Factors of 1369

The number 1369 has only one prime factor.

Prime factors of 1369: 37

To find the prime factors of 1369, divide 1369 with 37:

1369÷37=37
37÷37=1

Prime Factorization of 1369

Prime factorization breaks down the prime factors of 1369:

Expressed as 37×37 or 37²
 

The prime factorization can be visually represented using a factor tree. It helps to understand the process easily.
This tree shows the breakdown of 1369 into its prime factors: 37×37

Factors of 1369 can also be written in both positive and negative pairs. Their product will always equal the given number.

Positive Factor Pairs:
(1,1369),(37,37)(1, 1369), (37, 37)(1,1369),(37,37)

Negative Factor Pairs:
(−1,−1369),(−37,−37)(-1, -1369), (-37, -37)(−1,−1369),(−37,−37)

Factors of 1369: Numbers that can divide 1369 completely without leaving a remainder. The factors of 1369 include 1, 37, and 1369.

Prime Factors: Prime numbers that, when multiplied together, yield 1369. The prime factor of 1369 is 37.

Prime Factorization: The process of breaking 1369 down into its prime factors and expressing it as a product. For 1369, the prime factorization is 37×37

Factor Tree: A visual diagram used to represent the process of finding the prime factors of 1369. It helps illustrate that 1369 can be broken down into 37×37

Perfect Square: A number that results from multiplying the same number by itself. 1369 is a perfect square because 37×37=1369.