# Factors of 284

Factors of 284 are 1, 2, 4, 71, 142, and 284

#### How to find factors of a number

 1.   Find factors of 284 using Division Method 2.   Find factors of 284 using Prime Factorization 3.   Find factors of 284 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 284

• Divide 284 by 1: 284 ÷ 1 : Remainder = 0
• Divide 284 by 2: 284 ÷ 2 : Remainder = 0
• Divide 284 by 4: 284 ÷ 4 : Remainder = 0
• Divide 284 by 71: 284 ÷ 71 : Remainder = 0
• Divide 284 by 142: 284 ÷ 142 : Remainder = 0
• Divide 284 by 284: 284 ÷ 284 : Remainder = 0

Hence, Factors of 284 are 1, 2, 4, 71, 142, and 284

#### 2. Steps to find factors of 284 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 284 using the division method, follow these steps:

• Step 1. Start dividing 284 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 284, which is 2. Divide 284 by 2 to obtain the quotient (142).
284 ÷ 2 = 142
• Step 3. Repeat step 1 with the obtained quotient (142).
142 ÷ 2 = 71
71 ÷ 71 = 1

So, the prime factorization of 284 is, 284 = 2 x 2 x 71.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 284 as shown below:

So, the prime factorization of 284 is, 284 = 2 x 2 x 71.

#### 3. Find factors of 284 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 284 would be the two numbers which, when multiplied, give 284 as the result.

The following table represents the calculation of factors of 284 in pairs:

Factor Pair Pair Factorization
1 and 284 1 x 284 = 284
2 and 142 2 x 142 = 284
4 and 71 4 x 71 = 284

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 284. They are called negative pair factors.

Hence, the negative pairs of 284 would be ( -1 , -284 ) , ( -2 , -142 ) and ( -4 , -71 ) .

#### 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

• Each number is a factor of itself. Eg. 284 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 284.
• Every number is a factor of zero (0), since 284 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 4, 71, 142, 284 are exact divisors of 284.
• Factors of 284 are 1, 2, 4, 71, 142, 284. Each factor divides 284 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 71, 142, 284 are all less than or equal to 284.

• What are the pair factors of 284?

Pair factors of 284 are (1,284), (2,142), (4,71).

• What are five multiples of 284?

First five multiples of 284 are 568, 852, 1136, 1420, 1704.

• What two numbers make 284?

Two numbers that make 284 are 2 and 142.

• What is the sum of all factors of 284?

The sum of all factors of 284 is 504.

• What are factors of -284?

Factors of -284 are -1, -2, -4, -71, -142, -284.

• What are factors of 284?

Factors of 284 are 1, 2, 4, 71, 142, 284.

• Is 284 a perfect square?

No 284 is not a perfect square.

• Which is the smallest prime factor of 284?

Smallest prime factor of 284 is 2.

• Which is greatest factor of 284?

The greatest factor of 284 is 142.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 284?

Factors of 284 are 1, 2, 4, 71, 142, 284.
Odd factors of 284 are 1, 71.
Hence product of odd factors of 284 is; 1 x 71 = 71.

Joey wants to write all the prime factors of 284 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 284 are 2, 2, 71.
So in exponential form it can be written as 22 x 71.

How many factors are there for 284?

Factors of 284 are 1, 2, 4, 71, 142, 284.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 284. Can you predict the answer?

5 factor(s) of 284 are 1, 2, 4, 71, 142.

Sammy is puzzled while calculating the prime factors of 284. Can you help him find them?

Factors of 284 are 1, 2, 4, 71, 142, 284.
Prime factors of 284 are 2, 2, 71

What is prime factorization of 284?

Prime factorization of 284 is 2 x 2 x 71 = 22 x 71.

Can you help Rubel to find out the product of the even factors of 284?

Factors of 284 are 1, 2, 4, 71, 142, 284.
Even factors of 284 are 2, 4, 142, 284.
Hence, product of even factors of 284 is; 2 x 4 x 142 x 284 = 322624.