Factors of 284

The factors of 284 are the numbers that divide 284 evenly.
 

Positive Factors: These are the positive numbers that divide 284 evenly.
Positive factors are 1, 2, 4, 71, 142, and 284.
 

Negative Factors: These are negative counterparts of the positive factors.
Negative factors: -1, -2, -4, -71, -142, -284
 

Prime Factors: Prime factors are the prime numbers themselves, when multiplied together, give 284 as the product.
Prime factors: 2, 71
 

Prime Factorization: Prime factorization involves breaking 284 into its prime factors.
It is expressed as 2² × 71

Table listing the factors of 284

There are different methods to find the factors of 284.

Methods to find the factors of 284:
Multiplication Method
Division Method
Prime Factor and Prime Factorization
Factor Tree

The multiplication method finds the pair of factors that give 284 as their product.
 

Step 1: Find the pair of numbers whose product is 284.
 

Step 2: The factors are those numbers, when multiplied, give 284.
 

Step 3: Make a list of numbers whose product will be 284.

A list of numbers whose products are 284 is given below:

• 1 × 284 = 284
• 2 × 142 = 284
• 4 × 71 = 284

Thus, the factors of 284 are 1, 2, 4, 71, 142, 284
 

The division method finds the numbers that fully divide the given number. The steps are given below:
 

Step 1: Since every number is divisible by 1, 1 will always be a factor. Example: 284 ÷ 1 = 284
 

Step 2: Move to the next integer. The factors of the number include the number that is used to divide and the number of times the particular number is divided.
 

Thus, the factors of 284 are 1, 2, 4, 71, 142, 284

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

Prime Factors of 284: Number 284 has only two prime factors.
Prime factors of 284: 2, 71
To find the prime factors of 284, we can divide 284 with the prime numbers like 2 and 71 from the list of factors of 284.

Step 1: Divide 284 with the prime number 2
284 ÷ 2 = 142

Step 2: Divide 142 with the prime number 2
142 ÷ 2 = 71

Step 3: 71 is a prime number and cannot be divided further.

The prime factorization is visually represented using the factor tree. It helps to understand the process easily. In this factor tree, each branch splits into prime factors.

This tree shows the breakdown of 284 into its prime factors: 2² × 71

Positive and Negative Factor Pairs of 284

Factors of 284 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.

Positive Factor Pairs: (1, 284), (2, 142), (4, 71)

Negative Factor Pairs: (-1, -284), (-2, -142), (-4, -71)
 

• Factor: Numbers that divide another number completely without leaving a remainder. Example: The factors of 284 are 1, 2, 4, 71, 142, and 284.
   
• Prime Factor: Prime numbers that, when multiplied, give the original number. Example: The prime factors of 284 are 2 and 71.
   
• Prime Factorization: The process of expressing a number as the product of prime factors. Example: The prime factorization of 284 is 2² × 71.
   
• Multiple: Numbers that can be obtained by multiplying a given number by integers. Example: 284 is a multiple of 71 because 71 × 4 = 284.
   
• Co-prime: Two numbers that have no common factors other than 1. Example: 284 and 142 are not co-prime because their greatest common factor (GCF) is 71.