# Factors of 228

Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, and 228

#### How to find factors of a number

 1.   Find factors of 228 using Division Method 2.   Find factors of 228 using Prime Factorization 3.   Find factors of 228 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 228

• Divide 228 by 1: 228 ÷ 1 : Remainder = 0
• Divide 228 by 2: 228 ÷ 2 : Remainder = 0
• Divide 228 by 3: 228 ÷ 3 : Remainder = 0
• Divide 228 by 4: 228 ÷ 4 : Remainder = 0
• Divide 228 by 6: 228 ÷ 6 : Remainder = 0
• Divide 228 by 12: 228 ÷ 12 : Remainder = 0
• Divide 228 by 19: 228 ÷ 19 : Remainder = 0
• Divide 228 by 38: 228 ÷ 38 : Remainder = 0
• Divide 228 by 57: 228 ÷ 57 : Remainder = 0
• Divide 228 by 76: 228 ÷ 76 : Remainder = 0
• Divide 228 by 114: 228 ÷ 114 : Remainder = 0
• Divide 228 by 228: 228 ÷ 228 : Remainder = 0

Hence, Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, and 228

#### 2. Steps to find factors of 228 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 228 using the division method, follow these steps:

• Step 1. Start dividing 228 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 228, which is 2. Divide 228 by 2 to obtain the quotient (114).
228 ÷ 2 = 114
• Step 3. Repeat step 1 with the obtained quotient (114).
114 ÷ 2 = 57
57 ÷ 3 = 19
19 ÷ 19 = 1

So, the prime factorization of 228 is, 228 = 2 x 2 x 3 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 228 as shown below:

So, the prime factorization of 228 is, 228 = 2 x 2 x 3 x 19.

#### 3. Find factors of 228 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 228 would be the two numbers which, when multiplied, give 228 as the result.

The following table represents the calculation of factors of 228 in pairs:

Factor Pair Pair Factorization
1 and 228 1 x 228 = 228
2 and 114 2 x 114 = 228
3 and 76 3 x 76 = 228
4 and 57 4 x 57 = 228
6 and 38 6 x 38 = 228
12 and 19 12 x 19 = 228

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 228. They are called negative pair factors.

Hence, the negative pairs of 228 would be ( -1 , -228 ) , ( -2 , -114 ) , ( -3 , -76 ) , ( -4 , -57 ) , ( -6 , -38 ) and ( -12 , -19 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 228 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 228.
• Every number is a factor of zero (0), since 228 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, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228 are exact divisors of 228.
• Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. Each factor divides 228 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228 are all less than or equal to 228.

• What are the prime factors of 228?

The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.
Prime factors of 228 are 2, 2, 3, 19.

• What two numbers make 228?

Two numbers that make 228 are 2 and 114.

• What is the greatest prime factors of 228?

The greatest prime factor of 228 is 19.

• What are factors of 228?

Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.

• How do you find factors of a negative number? ( eg. -228 )?

Factors of -228 are -1, -2, -3, -4, -6, -12, -19, -38, -57, -76, -114, -228.

• What are five multiples of 228?

First five multiples of 228 are 456, 684, 912, 1140, 1368.

• Write some multiples of 228?

First five multiples of 228 are 456, 684, 912, 1140.

• Is 228 a perfect square?

No 228 is not a perfect square.

• What two numbers make 228?

Two numbers that make 228 are 2 and 114.

#### Examples of Factors

What is prime factorization of 228?

Prime factorization of 228 is 2 x 2 x 3 x 19 = 22 x 3 x 19.

Sammy is puzzled while calculating the prime factors of 228. Can you help him find them?

Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.
Prime factors of 228 are 2, 2, 3, 19

Kevin has been asked to write 11 factor(s) of 228. Can you predict the answer?

11 factor(s) of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114.

Joey wants to write all the prime factors of 228 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 228 are 2, 2, 3, 19.
So in exponential form it can be written as 22 x 3 x 19.

How many factors are there for 228?

Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.
So there are in total 12 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 228? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.
Negative factors are -1, -2, -3, -4, -6, -12, -19, -38, -57, -76, -114, -228.

Can you help Rubel to find out the product of the even factors of 228?

Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.
Even factors of 228 are 2, 4, 6, 12, 38, 76, 114, 228.
Hence, product of even factors of 228 is; 2 x 4 x 6 x 12 x 38 x 76 x 114 x 228 = 43237380096.