# Factors of 230

Factors of 230 are 1, 2, 5, 10, 23, 46, 115, and 230

#### How to find factors of a number

 1.   Find factors of 230 using Division Method 2.   Find factors of 230 using Prime Factorization 3.   Find factors of 230 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 230

• Divide 230 by 1: 230 ÷ 1 : Remainder = 0
• Divide 230 by 2: 230 ÷ 2 : Remainder = 0
• Divide 230 by 5: 230 ÷ 5 : Remainder = 0
• Divide 230 by 10: 230 ÷ 10 : Remainder = 0
• Divide 230 by 23: 230 ÷ 23 : Remainder = 0
• Divide 230 by 46: 230 ÷ 46 : Remainder = 0
• Divide 230 by 115: 230 ÷ 115 : Remainder = 0
• Divide 230 by 230: 230 ÷ 230 : Remainder = 0

Hence, Factors of 230 are 1, 2, 5, 10, 23, 46, 115, and 230

#### 2. Steps to find factors of 230 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 230 using the division method, follow these steps:

• Step 1. Start dividing 230 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 230, which is 2. Divide 230 by 2 to obtain the quotient (115).
230 ÷ 2 = 115
• Step 3. Repeat step 1 with the obtained quotient (115).
115 ÷ 5 = 23
23 ÷ 23 = 1

So, the prime factorization of 230 is, 230 = 2 x 5 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 230 as shown below:

So, the prime factorization of 230 is, 230 = 2 x 5 x 23.

#### 3. Find factors of 230 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 230 would be the two numbers which, when multiplied, give 230 as the result.

The following table represents the calculation of factors of 230 in pairs:

Factor Pair Pair Factorization
1 and 230 1 x 230 = 230
2 and 115 2 x 115 = 230
5 and 46 5 x 46 = 230
10 and 23 10 x 23 = 230

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 230. They are called negative pair factors.

Hence, the negative pairs of 230 would be ( -1 , -230 ) , ( -2 , -115 ) , ( -5 , -46 ) and ( -10 , -23 ) .

#### What are factors?

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

#### Properties of factors

• Each number is a factor of itself. Eg. 230 is a factor of itself.
• 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, 5, 10, 23, 46, 115, 230 are exact divisors of 230.
• 1 is a factor of every number. Eg. 1 is a factor of 230.
• Every number is a factor of zero (0), since 230 x 0 = 0.

• What are the pair factors of 230?

Pair factors of 230 are (1,230), (2,115), (5,46), (10,23).

• What are five multiples of 230?

First five multiples of 230 are 460, 690, 920, 1150, 1380.

• What two numbers make 230?

Two numbers that make 230 are 2 and 115.

• What is the sum of all factors of 230?

The sum of all factors of 230 is 432.

• What are factors of -230?

Factors of -230 are -1, -2, -5, -10, -23, -46, -115, -230.

• What are factors of 230?

Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230.

• Is 230 a perfect square?

No 230 is not a perfect square.

• Which is the smallest prime factor of 230?

Smallest prime factor of 230 is 2.

• Which is greatest factor of 230?

The greatest factor of 230 is 115.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 230?

Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230.
Odd factors of 230 are 1, 5, 23, 115.
Hence product of odd factors of 230 is; 1 x 5 x 23 x 115 = 13225.

Joey wants to write all the prime factors of 230 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 230 are 2, 5, 23.
So in exponential form it can be written as 2 x 5 x 23.

How many factors are there for 230?

Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 230. Can you predict the answer?

7 factor(s) of 230 are 1, 2, 5, 10, 23, 46, 115.

Sammy is puzzled while calculating the prime factors of 230. Can you help him find them?

Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230.
Prime factors of 230 are 2, 5, 23

What is prime factorization of 230?

Prime factorization of 230 is 2 x 5 x 23 = 2 x 5 x 23.

Can you help Rubel to find out the product of the even factors of 230?

Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230.
Even factors of 230 are 2, 10, 46, 230.
Hence, product of even factors of 230 is; 2 x 10 x 46 x 230 = 211600.